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Find the volume of this pyramid that has a height of 35cm and base of 18cm and 24cm.

a. 7560 cm^3
b. 5040 cm^3
c. 1728 cm^3
d. 2520 cm^3

User Jglatre
by
7.2k points

2 Answers

3 votes
The answer is: [B]: " 5,040 cm³ " .
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Step-by-step explanation:
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The formula for the: Volume for a rectangular pyramid ; "V" :

Volume = (Length * width * height) / 3 ;

or, write as: "V = (L * w * h) / 3

We are given the units of the base, or the "length (L) and the "width" (W); with are: "24 cm" and "18 cm" ;

We are given the "height" (h), which is: "35 cm" .
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Let us plug in this values into the formula, and solve for "V" (the volume):




V = (L * w * h) / 3 = (24 cm * 18 cm * 35 cm) / 3 ;

= (15,120 cm³ ) / 3 ;

V = 5,040 cm³ ;
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which is: Answer choice: [B]: " 5,040 cm³ " .
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User LauraB
by
7.5k points
2 votes
Hey!~

The correct answer is b, 5040 cm³.
The equation for calculating volume of a pyramid is
(hwl)/(3) ,
h= height, w=base width, l=base length.

Hope this helps and have a great day!

-Lindsey
User Alejandro Duarte
by
7.9k points