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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.
#ProblemCorrect AnswerYour Answer
1The 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
#ProblemCorrect AnswerYour Answer
2The 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.
#ProblemCorrect AnswerYour Answer
1The 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
#ProblemCorrect AnswerYour Answer
2The 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.
#ProblemCorrect AnswerYour Answer
1The 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
#ProblemCorrect AnswerYour Answer
2The 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.
#ProblemCorrect AnswerYour Answer
1The 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
#ProblemCorrect AnswerYour Answer
2The 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.
#ProblemCorrect AnswerYour Answer
1The 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
#ProblemCorrect AnswerYour Answer
2The 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.
#ProblemCorrect AnswerYour Answer
1The 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
#ProblemCorrect AnswerYour Answer
2The 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

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