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Surface Area and Volume Review

The document contains 11 word problems involving calculating surface areas and volumes of various shapes like rectangular prisms, cubes, cylinders, and a swimming pool. The problems ask the reader to find dimensions, surface areas, volumes, and amounts of materials needed like carpet or water to fill spaces. Several problems provide the dimensions of objects and ask the reader to calculate a corresponding surface area or volume.

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akerke.kuanyshbayeva
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41 views2 pages

Surface Area and Volume Review

The document contains 11 word problems involving calculating surface areas and volumes of various shapes like rectangular prisms, cubes, cylinders, and a swimming pool. The problems ask the reader to find dimensions, surface areas, volumes, and amounts of materials needed like carpet or water to fill spaces. Several problems provide the dimensions of objects and ask the reader to calculate a corresponding surface area or volume.

Uploaded by

akerke.kuanyshbayeva
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Surface Area & Volume – Word Problems

1. A classroom has the dimensions shown.


Find:

(a) the area of the floor

(b) the volume of the room

(c) the total area of the four walls.

2. Find the surface area of a cube having an edge length of 4 feet each.

3. A room is 14 yards by 18 yards. Find the cost to carpet this room if carpet costs $2.30 per
square
yard.

4. The excavation for a house and the trucks to carry away the
material have the dimensions shown. About how many level
truck loads are necessary to remove all the dirt?

5. How many different pairs of faces are congruent in a rectangular prism that is not a cube?

A) 1 B) 2 C) 3 D) 4
6. Determine the surface area in square inches of a rectangular prism with dimensions 4 in. by 3 in. by 2 in.

7. Determine the volume in cubic centimeters of a rectangular prism with dimensions 8 cm by 5 cm by 2 cm.

8. A rectangular strip of aluminum, 30 cm long and 10 cm wide, is rolled into the form of a cylinder.
Which would have the greater volume, a cylinder 10 cm high with circumference of 30 cm or a cylinder
30 cm high with circumference of 10 cm?

9. Sandy is filling her swimming pool. The pool is in the shape of a rectangular prism and is 30 feet long, 15
feet wide, and 8 feet deep.

Sandy wants to leave the top two feet of the pool unfilled to prevent spilling. How much water will it take to
fill the pool? ______________

10. A rectangular prism is 10 centimeters long, t centimeters wide, and 4 centimeters tall. What is the
surface area of the rectangular prism?

11. An art student must paint and decorate a small wooden box. The width of the box is 2 cm, the height
is 3 cm, and the length of the box is 5 cm. What is the surface area that the student will paint?

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