Question

How many cubes with side lengths of 1/4 cm does it take to fill the prism?

Answer 1

Answer:

135 cubes

Step-by-step explanation:

To find how many cubes of 1/4 can fill the prism first we have to find the volume of prism and volume of cube.

.

The prism is a cuboid, so,

volume of prism = volume of cuboid

.

volume of cuboid = l×b×h

$2 \frac{1}{4} \times \frac{3}{4} \times 1 \frac{1}{4} {cm}^{3} \\ \\ = \frac{9}{4} \times \frac{3}{4} \times \frac{5}{4} \\ \\ = \frac{135}{64} {cm}^{3}$

Volume of cube = a³

$= ( { \frac{1}{4} )}^{3} \\ \\ = \frac{1}{4} \times \frac{1}{4} \times \frac{1}{4} {cm}^{3} \\ \\ = \frac{1}{64} {cm}^{3}$

So volume of prism = 135/64 and volume of cube = 1/64

.

How many cube can fill the prism = volume of prism ÷ volume of cube

$\frac{135}{64} \div \frac{1}{64} \\ \\ = \frac{135}{64} \times \frac{64}{1} \\ \\ = 135$

Hence 135 cubes can fill the prism

hope it helps.

Answer 2

Answer:

Hey Mate

number of cubes required is the product of the dimensions in cube-lengths: 3×4×2 = 24 cubes.

Step-by-step explanation:

Hope this will help you

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