2 years ago

Corresponding sides of similar triangles are A opposite B proportional C equals

Mathematics

1 answer:

Elena-2011 [213]2 years ago

5 0

I’m not sure but I think it’s C

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be rectangular prism and rectangular pyramid have the same volume. determine the value of x, the height of the pyramid.

Marina CMI [18]

ANSWER

$x= 9 \: in$

EXPLANATION

The volume of a rectangular prism is given by the formula,

$V = l \times b \times h$
We substitute the dimensions to obtain,

$V = 6 \times 3 \times 12 \: {in}^{3}$

The volume of the rectangular pyramid is,

$V = \frac{1}{3} \times 6 \times 12 \times x \: {in}^{3}$

Equating the two volumes gives,

$\frac{1}{3} \times 6 \times 12 \times x = 6 \times 3 \times 12$

We divide through by 6×12 to get,

$\frac{x}{3}=3$

We solve for x to obtain,

$x = 3 \times 3$

$x = 9 \: in$