Rectangular Solids 2 Sample Problems

Math Practice Online > free > lessons > Texas > 7th grade > Rectangular Solids 2

If your child needs math practice, click here.

These sample problems below for Rectangular Solids 2 were generated by the MathScore.com engine.

Sample Problems For Rectangular Solids 2

Complexity=3, Mode=word

Solve. Answer with proper units.

1. The surface area of a rectangular solid is 42 cm².
The lengths of two of the sides are 3 cm and 3 cm.
What is the length of the other side?
length =

2. The volume of a rectangular solid is 18 in³.
The length is 3 in and the width is 2 in. What is the height?
h =

Complexity=4, Mode=word

Solve. Answer with proper units.

1. The surface area of a rectangular solid is 80 in².
The lengths of two of the sides are 3 in and 4 in.
What is the length of the other side?
length =

2. The volume of a rectangular solid is 12 cm³.
The length is 4 cm and the width is 3 cm. What is the height?
h =

Complexity=6, Mode=word

Solve. Answer with proper units.

1. The surface area of a rectangular solid is 94 yd².
The lengths of two of the sides are 4 yd and 5 yd.
What is the length of the other side?
length =

2. The volume of a rectangular solid is 60 cm³.
The length is 6 cm and the height is 2 cm. What is the width?
w =

Complexity=8, Mode=word

Solve. Answer with proper units.

1. The surface area of a rectangular solid is 100 cm².
The lengths of two of the sides are 2 cm and 7 cm.
What is the length of the other side?
length =

2. The volume of a rectangular solid is 168 m³.
The length is 3 m and the width is 7 m. What is the height?
h =

Complexity=10, Mode=word

Solve. Answer with proper units.

1. The surface area of a rectangular solid is 228 ft².
The lengths of two of the sides are 6 ft and 4 ft.
What is the length of the other side?
length =

2. The volume of a rectangular solid is 60 ft³.
The width is 4 ft and the height is 5 ft. What is the length?
L =

Complexity=12, Mode=word

Solve. Answer with proper units.

1. The surface area of a rectangular solid is 478 in².
The lengths of two of the sides are 9 in and 7 in.
What is the length of the other side?
length =

2. The volume of a rectangular solid is 180 in³.
The length is 9 in and the height is 4 in. What is the width?
w =

Answers

Complexity=3, Mode=word

Solve. Answer with proper units.

#	Problem	Correct Answer	Your Answer
1	The surface area of a rectangular solid is 42 cm². The lengths of two of the sides are 3 cm and 3 cm. What is the length of the other side?	length =
Solution Surface Area = 2Lw + 2Lh + 2wh Pick h as the unknown (your choice doesn't matter) 42cm² = (2 × 3cm × 3cm) + (2 × 3cm × h) + (2 × 3cm × h) 42cm² = 18cm² + (6 cm)h + (6 cm)h 24cm² = (12 cm)h 2cm = h

#	Problem	Correct Answer	Your Answer
2	The volume of a rectangular solid is 18 in³. The length is 3 in and the width is 2 in. What is the height?	h =
Solution V = Lwh 18in³ = 3in × 2in × h 6in² = 2in × h 3in = h

Complexity=4, Mode=word

Solve. Answer with proper units.

#	Problem	Correct Answer	Your Answer
1	The surface area of a rectangular solid is 80 in². The lengths of two of the sides are 3 in and 4 in. What is the length of the other side?	length =
Solution Surface Area = 2Lw + 2Lh + 2wh Pick h as the unknown (your choice doesn't matter) 80in² = (2 × 3in × 4in) + (2 × 3in × h) + (2 × 4in × h) 80in² = 24in² + (6 in)h + (8 in)h 56in² = (14 in)h 4in = h

#	Problem	Correct Answer	Your Answer
2	The volume of a rectangular solid is 12 cm³. The length is 4 cm and the width is 3 cm. What is the height?	h =
Solution V = Lwh 12cm³ = 4cm × 3cm × h 3cm² = 3cm × h 1cm = h

Complexity=6, Mode=word

Solve. Answer with proper units.

#	Problem	Correct Answer	Your Answer
1	The surface area of a rectangular solid is 94 yd². The lengths of two of the sides are 4 yd and 5 yd. What is the length of the other side?	length =
Solution Surface Area = 2Lw + 2Lh + 2wh Pick h as the unknown (your choice doesn't matter) 94yd² = (2 × 4yd × 5yd) + (2 × 4yd × h) + (2 × 5yd × h) 94yd² = 40yd² + (8 yd)h + (10 yd)h 54yd² = (18 yd)h 3yd = h

#	Problem	Correct Answer	Your Answer
2	The volume of a rectangular solid is 60 cm³. The length is 6 cm and the height is 2 cm. What is the width?	w =
Solution V = Lwh 60cm³ = 6 × w × 2cm 30cm² = 6cm × w 5cm = w

Complexity=8, Mode=word

Solve. Answer with proper units.

#	Problem	Correct Answer	Your Answer
1	The surface area of a rectangular solid is 100 cm². The lengths of two of the sides are 2 cm and 7 cm. What is the length of the other side?	length =
Solution Surface Area = 2Lw + 2Lh + 2wh Pick h as the unknown (your choice doesn't matter) 100cm² = (2 × 2cm × 7cm) + (2 × 2cm × h) + (2 × 7cm × h) 100cm² = 28cm² + (4 cm)h + (14 cm)h 72cm² = (18 cm)h 4cm = h

#	Problem	Correct Answer	Your Answer
2	The volume of a rectangular solid is 168 m³. The length is 3 m and the width is 7 m. What is the height?	h =
Solution V = Lwh 168m³ = 3m × 7m × h 56m² = 7m × h 8m = h

Complexity=10, Mode=word

Solve. Answer with proper units.

#	Problem	Correct Answer	Your Answer
1	The surface area of a rectangular solid is 228 ft². The lengths of two of the sides are 6 ft and 4 ft. What is the length of the other side?	length =
Solution Surface Area = 2Lw + 2Lh + 2wh Pick h as the unknown (your choice doesn't matter) 228ft² = (2 × 6ft × 4ft) + (2 × 6ft × h) + (2 × 4ft × h) 228ft² = 48ft² + (12 ft)h + (8 ft)h 180ft² = (20 ft)h 9ft = h

#	Problem	Correct Answer	Your Answer
2	The volume of a rectangular solid is 60 ft³. The width is 4 ft and the height is 5 ft. What is the length?	L =
Solution V = Lwh 60ft³ = L × 4ft × 5ft 12ft² = L × 4ft 3ft = L

Complexity=12, Mode=word

Solve. Answer with proper units.

#	Problem	Correct Answer	Your Answer
1	The surface area of a rectangular solid is 478 in². The lengths of two of the sides are 9 in and 7 in. What is the length of the other side?	length =
Solution Surface Area = 2Lw + 2Lh + 2wh Pick h as the unknown (your choice doesn't matter) 478in² = (2 × 9in × 7in) + (2 × 9in × h) + (2 × 7in × h) 478in² = 126in² + (18 in)h + (14 in)h 352in² = (32 in)h 11in = h

#	Problem	Correct Answer	Your Answer
2	The volume of a rectangular solid is 180 in³. The length is 9 in and the height is 4 in. What is the width?	w =
Solution V = Lwh 180in³ = 9 × w × 4in 45in² = 9in × w 5in = w

MathScore.com