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3 years ago

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Find the volume of the prism. a)152.4cm^3 b)158.3cm^3 c)163.9cm^3 d)167.1cm^3

2 answers:

Rashid [163]3 years ago

5 0

Answer: option a

Step-by-step explanation:

You can calculate the volume of a prism with this formula:

$V_{prism}=lwh$

Where l is the lenght, w is the width and h is the height.

You can identify from the figure that:

$l=12cm\\w=5cm\\h=2.54cm$

Then, substituting these values into the formula, you get that the volume of this prism is:

$V_{prism}=(12cm)(5cm)(2.54cm)=152.4cm^3$

frozen [14]3 years ago

3 0

Answer:

Final answer is choice a) $Volume = 152.4 \, cm^3$

Step-by-step explanation:

Given that length of the prism = 12 cm

Given that width of the prism = 5 cm

Given that height of the prism = 2.54 cm

Then volume of the rectangular prism is given by formula:

$Volume = (Length)(Width)(Height)$

$Volume = (12 cm)(5 cm)(2.54 cm)$

$Volume = 152.4 \, cm^3$

Hence final answer is choice a) $Volume = 152.4 \, cm^3$

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3 years ago

How many cubes with side lengths of 1/3 cm does it take to fill the prism?

user100 [1]

Answer:

The number of cubes that fill the prism is 24

Step-by-step explanation:

Given as :

The length of cube (l) = $\frac{1}{3}$ cm

The length of prism (L) = 1 cm

The width of prism (w) = 2 $\frac{2}{3}$ = $\frac{8}{3}$ cm

The height of prism (h) = $\frac{2}{3}$ cm

Let the number of cubes that fill the prism = x

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Or, Volume of cube with length (l) = $(\frac{1}{27})$ cm³

Again , Volume of prism = $\frac{1}{2}\times Length \times width \times height$

Or, Volume of prism = $\frac{1}{2}\times 1 \times \frac{8}{3} \times \frac{2}{3}$

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<u>So , The number of cubes to fill prism </u>

The number of cubes × Volume of cube = Volume of prism

Or, x × $(\frac{1}{27})$ cm³ = $(\frac{8}{9})$ cm³

or x = $\frac{8\times 27}{9}$ = 24

Hence The number of cubes which fill the prism is 24 Answer

8 0

3 years ago