Question

An ice cream cake mold in the most shape of a right square prism has a base area of 110 ¹/4 square inches and a height of 5 ¹/5 inches. What is the maxium amount of ice cream that can fit into the cake mold with out overflowing?

Answer 1

A right square prism has at least two opposite faces shaped as a square.

The formula for a right square prism is;

`Volume=a^2h`

We are required to find the amount of ice cream that can be poured into the mould in the given shape.

The base area is already given and that is the result of a squared.

The height also is already given.

The volume therefore is;

`\begin{gathered} \text{Volume}=a^2h \\ \text{Volume}=110(1)/(4)*5(1)/(5) \\ \text{Volume}=(441)/(4)*(26)/(5) \\ \text{Volume}=(11466)/(20) \\ \text{Volume}=573(3)/(10)in^3 \end{gathered}`

The volume of the right square prism, that is the maximum amount of ice cream that can fit into the cake mould is 573 3/10 cubic inches