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Stels [109]
3 years ago
14

A gift box in the shape of a triangular prism has a volume of

Mathematics
2 answers:
stealth61 [152]3 years ago
7 0

Answer:

Hence the length of the base is given by 7 inches.

Step-by-step explanation:

Given:

Volume of a triangular prism=140 ci

Height=4 inches

base height =10 inches.

To Find:

Length of base

Solution:

We know that ,

Volume of triangular prism is given by

V=1/2(base *height* length)=1/2*b*h*l

Here V=140 ci

b=10 inches ,h=4 inches.

140=1/2*(10*4*l)

280=40l

l=280/40

l=7 inches

Marina86 [1]3 years ago
6 0

Answer:

The length of the base is 7 inches.

Step-by-step explanation:

A triangular prism with base height h, length l, and base length b has volume V given by

V=\frac{1}{2}lbh

We are told that the volume of the prism is 140 cubic inches, and h=10, l=4; therefore we have:

140=\frac{1}{2}(4)(10)b

b=\frac{140*2}{4*10} =7\:inches

\boxed{b=7\:inches}

The length of the base is 7 inches.

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