Question

1% Complete

2. Which has the greater surface area: a 6-centimeter cube or a rectangular prism with a 3-
entimeter square base and a height of 12 centimeters?
A. The cube
3. The rectangular prism
C. They are the same
D. There is not enough information
HINT

Answer 1

The cube has a greater surface area than the rectangular prism.

Step-by-step explanation:

To calculate the surface area of the cube, we need to find the area of one face and multiply it by 6. Since each face of the cube is a square, the formula for the area of a square is side length squared. Therefore, the surface area of the cube is 6 x (6cm x 6cm) = 216 square cm.

For the rectangular prism, we need to find the area of the base and multiply it by the height. The formula for the area of a rectangle is length x width. So, the surface area of the rectangular prism is (3cm x 3cm) x 12cm = 108 square cm.

Since 216 > 108, the cube has a greater surface area than the rectangular prism.

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