3 years ago

HURRY PLEASE!! I WILL GIVE BRAINLIEST

Mathematics

2 answers:

Liono4ka [1.6K]3 years ago

8 0

Answer:

Step-by-step explanation:

user100 [1]3 years ago

6 0

Answer:

1/64

Step-by-step explanation:

1/64=(1/8)^2

1/64=(1/4)^3

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The right rectangular prism is made up of 48 cubes. Each cube has an edge length of inch. What is the volume of this prism?

Gnesinka [82]

Given:

The right rectangular prism is made up of 48 cubes.
Each cube has an edge length of 1/4 inch.

$~$

To Find:

What is the volume of this prism?

$~$

Solution:

$~$

Using formula: 

$~$

$\sf \pmb {Volume \: of \: cube = {(side)}^{3} }$

$~$

Substituting values in the formula:

$~$

$\sf \longrightarrow \dfrac{1}{4} \times \dfrac{1}{4} \times \dfrac{1}{4}$

$\sf \longrightarrow \dfrac{1}{64} \: {inch}^{3}$

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Now,

Volume of 48 such cubes = Volume of 1 cube × 48 cubes

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$\sf \longrightarrow \dfrac{1}{64} \times 48$

$\sf \longrightarrow \dfrac{48}{64}$

$\sf \longrightarrow \dfrac{3}{4} \: {inch}^{3}$

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Hence,

Volume of prism is 3/4 inch^3

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Agata [3.3K]

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