Question

A hollow post is made out of a lightweight aluminum alloy that is 2.25 cm thick. The alloy is folded into the shape of a right rectangular prism measuring 11 cm by 9 cm by 29 cm. Find the total volume of alloy in the post. Round your answer to the nearest hundredth if necessary. (Note: diagram is not drawn to scale.)

Answer 1

The total volume of the alloy in the post is 2853 cm³.

Step-by-step explanation:

To find the total volume of the alloy in the post, we need to calculate the volume of the hollow rectangular prism formed by the folded aluminum alloy.

The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height.

In this case, the length (l) is 29 cm, the width (w) is 9 cm, and the height (h) is 11 cm.

So, the total volume of the alloy in the post is:

V = 29 cm × 9 cm × 11 cm

= 2853 cm³.