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20 votes
20 votes
HELP!!
What is the volume of this solid?
A. 39
B. 108
C. 27
D. 63

HELP!! What is the volume of this solid? A. 39 B. 108 C. 27 D. 63-example-1
User Felknight
by
2.7k points

2 Answers

29 votes
29 votes

Answer: B

Explanation:

4 times 3 times 3 times 3 times 3=108

User Flyingzl
by
2.6k points
19 votes
19 votes

Answer:

A. 39

Explanation:

Given:

Length of a pyramid (lpy ) = 4 cm

Width of a pyramid (wpy ) = 3 cm

Height of a pyramid (hpy ) = 3 cm

It is given that the rectangular pyramid fits exactly on top of the prism, the length and width of the prism are the same for the base of the pyramid.

So, Length of a prism (lpr) =3 cm, width of a prism (wpr) = 3cm and height of a prism (hpr) = 3 cm

Volume of Prism (Vpr) = lpr × wpr × hpr

⇒ Vpr = 3 cm × 3 cm × 3 cm

⇒ Vpr = 27 cm³ ....(eq 1)

Volume of Rectangular Pyramid Vpy

= (lpy × wpy × hpy ) / 3

⇒ Vpy = (4 × 3 × 3) ÷ 3

⇒ Vpy = 12 cm³ ....(eq 2)

From 1 and 2, Volume of composite space,

Volume of composite space = Volume of prism + Volume of Pyramid

⇒ V = 27 cm³ + 12 cm³ = 39 cm³

⇒ V = 39cm³

User Jasilva
by
2.8k points
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