Question

The volume of these rectangular prism is 1.87 in.³. What is the volume of Y?

Answer 1

Given:

• Volume of rectangular prism, v = 1.87 cubic inches

,

• Width, w = 1 inch

,

• Length, L = 1.1 inh

,

• height, h = y

Let's find the value of y which is the height of the rectangular prism.

To find the height of the rectangular prism, apply the formula for volume:

`V=l* w* h`

Where:

V is the volume

w is the width

h is the height.

l is the length.

Substitute values into the formula and solve for h:

`\begin{gathered} 1.87=1.1*1* y \\ \\ 1.87=1.1y \end{gathered}`

Divide both sides by 1.1:

`\begin{gathered} (1.87)/(1.1)=(1.1y)/(1.1) \\ \\ 1.7=y \\ \\ y=1.7\text{ inches} \end{gathered}`

Therefore, the value of y is 1.7 inches.

ANSWER:

1.7