A prism with an volume of 148 cubic cm is dilated by a factor of 5.5.
The volume of the dilated prism is ___ cubic cm.
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Answers
Step-by-step explanation:
To find the volume of a rectangular prism, we multiply the length of the prism by the width of the prism by the height of the prism.
\text{Volume of rectangular prism}=Volume of rectangular prism= length× width × height
The base of the prism is a rectangle. The length of the rectangle is Unknown node type: font cm and the width is Unknown node type: font cm.
The area Unknown node type: font of a rectangle with length l and width w is A=lw .
So, the base area is 9×7 or 63 cm2 .
The height of the prism is 13 cm.
Substitute 63 for B and 13 for h in V=Bh .
V=(63)(13)
Multiply.
V=819
Therefore, the volume of the prism is 819 cubic centimeters.
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