Question

lisa is using a 3d printer to create two blocks with different dimensions. each block is shaped like a rectangular prism. use the given information to ans part below.
(a) one block has a volume of ( 33 mathrm{in}^{3} ) and a height of 5 in. find its base area.

(b) the other block has a length of ( 5 \frac{1}{2} ) in, a width of 3 in, and a height of 2 in. find its volume.

Explanation:

Step1: Recall the volume formula for a rectangular prism

The volume formula for a rectangular prism is \(V = B\times h\), where \(V\) is the volume, \(B\) is the base area, and \(h\) is the height.

Step2: Solve for the base area \(B\)

We know that \(V = 33\space in^{3}\) and \(h = 5\space in\). Rearranging the formula \(V = B\times h\) to solve for \(B\), we get \(B=\frac{V}{h}\).
Substitute \(V = 33\) and \(h = 5\) into the formula: \(B=\frac{33}{5}=6.6\space in^{2}\)

Answer:

\(6.6\)