Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the volume of the composite figure. the volume of the triangular p…

Question

find the volume of the composite figure. the volume of the triangular prism is given, find the volume of the rectangular prism. triangular prism volume = 560 ft³ rectangular prism volume = ? ft³ hint: v = l·w·h

Explanation:

Step1: Identify dimensions of rectangular prism

Length $l = 14$ ft, width $w=10$ ft, height $h = 10$ ft

Step2: Apply volume formula for rectangular prism

The formula for the volume of a rectangular prism is $V=l\times w\times h$. Substitute the values: $V = 14\times10\times10$.
$V=1400$ ft³

Step3: Find volume of composite - figure

The volume of the composite figure is the sum of the volume of the triangular prism and the volume of the rectangular prism. But the problem only asks for the volume of the rectangular prism.

Answer:

$1400$ ft³