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kumpel [21]
2 years ago
7

A right square prism has a volume of 75 cubic inches. The prism is enlarged so its height is increased by a factor of 5, but the

other dimensions do not change. What is the new volume? A. B. C. D.
Mathematics
1 answer:
kvasek [131]2 years ago
8 0

Answer:

The new volume is 375 cubic inches.

Step-by-step explanation:

Volume of a right square prism:

The volume of a right square prism is given by:

V = a^2h

In which a is the length of the edge and h is the height.

A right square prism has a volume of 75 cubic inches.

This means that:

a^2h = 75

The prism is enlarged so its height is increased by a factor of 5

Edge is the same, height is 5 times. So

a^2(5h) = 5(a^2h) = 5*75 = 375

The new volume is 375 cubic inches.

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3 0
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andrew-mc [135]

Answer:

1) x = 8

2) ∠RPS = 36°

Step-by-step explanation:

<u>GIVEN :-</u>

  • ∠QPS = 180°
  • ∠QPR = 7x + 88
  • ∠RPS = 3x + 12

<u>TO FIND :-</u>

  1. Value of x
  2. Measure of ∠RPS

<u>FACTS TO KNOW BEFORE SOLVING :-</u>

In a straight line , if there are two angles such that their sum is equal to straight angle (or 180° in other words) , then those angles are known as linear pair.

<u>PROCEDURE :-</u>

1)

Measure of ∠QPS = 180° and it comprises of ∠QPR & ∠RPS.

⇒ ∠QPR & ∠RPS are linear pair.

⇒ ∠QPR + ∠RPS = 180°

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2)

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∠RPS = 3×8 + 12 = 24 + 12 = 36°

8 0
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