# GED Quantitative Problem Solving / 10: Surface Area and Volume Flashcards

Find the surface area of the space figure represented by the net.

290 in.2

Jim is building a model of a square pyramid for a class project. The side length of the square base is 12 inches and the slant height of the pyramid is 20 inches. What is the surface area of the model pyramid?

480 in.2

Find the volume of the square pyramid to the nearest cubic unit.

8 m.3

Meghan is completing a craft project that involves covering only the lateral surface of a cylindrical container with fabric. The cylinder has a height of 12.9 in. and a radius of 13.6 in. To the nearest square unit, how much fabric does she need for this project? Use a calculator.

1,102 in.2

Find the surface area of the square pyramid.

20 ft.2

You are designing a new container for powdered laundry detergent. You are considering a cylindrical container with a diameter of 12 inches and a height of 19 inches. Find the volume of this container to the nearest cubic unit. Use a calculator.

2,149 in.3

George made a conical hat to match his costume for a party. The hat has a slant height of 14 inches and a base circumference of 16 inches. The cone is open at one end. To the nearest square unit, what is the lateral area of the hat?

112 in.2

Renata is completing a craft project that involves covering only the lateral surface of a cylindrical container with fabric. The cylinder has a height of 12.8 in. and a radius of 15.1 in. To the nearest square unit, how much fabric does she need for this project? Use a calculator.

1,214 in.2

Find the volume of this composite figure for the given values for r, h, and s.

361.8 ft.3

Find the volume of the cone to the nearest cubic unit. Use a calculator.

height 8 cm; radius 15 cm

1,885 cm.3

Find the volume of the triangular prism.

27 m.3

Find the volume of the square pyramid to the nearest cubic unit.

edge 14 ft; height 12 ft

784 ft.3

You are designing a new container for powdered laundry detergent. You are considering a cylindrical container with a diameter of 20 inches and a height of 15 inches. Find the volume of this container to the nearest cubic unit. Use a calculator.

4,712 in.3

Find the volume of this composite figure for the given values for r, h, and s.

r = 4 in.

h = 5 in.

s = 7 in.

Use 3.14 for π. Round to the nearest tenth.

405.8 in.3

Find the surface area of the triangular prism.

1,872 m.2