Solid Geometry

Practice Questions

ISEE Upper Level Mathematics Achievement › Solid Geometry

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1

There is a perfectly spherical weather balloon with a surface area of , what is its diameter?

2

A wooden ball has a surface area of .

What is its radius?

3

Find the surface area of a sphere with a diameter of 20in.

4

Box

The above diagram shows a rectangular solid. The shaded side is a square. In terms of , give the volume of the box.

5

A cube has a side length of , what is the volume of the cube?

6

A cube has a side length of , what is the volume of the cube?

7

The distance from one vertex of a perfectly cubic aquarium to its opposite vertex is 1.5 meters. Give the volume of the aquarium in liters.

1 cubic meter = 1,000 liters.

8

The length of a diagonal of one face of a cube is . Give the volume of the cube.

9

A cube has a side length of , what is the volume of the cube?

10

Find the surface area of a sphere with a diameter of 20in.

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