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rusak2 [61]
3 years ago
15

QuestiuI4

Mathematics
2 answers:
4vir4ik [10]3 years ago
6 0

Answer:

The new volume is 14,850cm³

Step-by-step explanation:

Given

Volume of a rectangular prism = 550cm

Required

Value of volume when the dimensions are tripled.

The volume of a rectangular prism is calculated using the following formula.

V = lbh

<em>When Volume = 550, the formula is written as follows</em>

550 = lbh

<em>Rearrange</em>

lbh = 550

However, when each dimension is tripled.

This means that,

new length = 3 * old length

new breadth = 3 * old breadth

new height = 3 * old height

<em>Let L, B and H represent the new length, new breadth and new height respectively</em>

In other words,

L = 3l

B = 3b

H = 3h

Calculating new volume

New volume = LBH

Substitute, 3l for L, 3b for B and 3h for H;

V = 3l * 3b * 3h

V = 3 * l * 3 * b * 3 * h

V = 3 * 3 * 3 * l*b*h

V = 27 * lbh

Recall that lbh = 550

So,

V = 27 * 550

V = 14,850

Hence, the new volume is 14,850cm³

Lesechka [4]3 years ago
6 0

Answer:

New volume = 27 × 550 = 14850  cm³

Step-by-step explanation:

volume of a rectangular prism = L × B × H

where

L = length

B = Breadth

H = height

The initial volume = 550 cm³

LBH = 550 cm³

The new volume when all the dimensions are tripled

3L, 3B and 3H.

3L × 3B × 3H = 27LBH

Therefore,

27LBH = 27(550)

New volume = 27 × 550 = 14850  cm³

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