Question

the diagram shows the dimensions of two identical rectangular prisms joined together. what is the combined volume, in cubic meters, of the two prisms? prism a: l = 11, w = 5, h = 5; prism b: l = 11, w = 10, h = 5

Explanation:

Step1: Recall volume formula for rectangular - prism

The volume formula for a rectangular prism is $V = l\times w\times h$, where $l$ is length, $w$ is width and $h$ is height.

Step2: Find volume of prism A

For prism A, $l = 11$, $w = 5$, $h = 5$. So $V_A=11\times5\times5 = 275$ cubic - meters.

Step3: Find volume of prism B

For prism B, $l = 11$, $w = 11$, $h = 10 - 5=5$. So $V_B = 11\times11\times5=605$ cubic - meters.

Step4: Calculate combined volume

The combined volume $V = V_A+V_B$. So $V=275 + 605=880$ cubic - meters.

Answer:

880