Mathematics: How many cubes are needed to fill in the rectangular prism?

How many cubes are needed to fill in the rectangular

jandrew2052

20.01.2022

8320 cubes can fit into the prism.

Solution:

Convert mixed fraction into improper fraction.

Length of the prism = 20 in

Width of the prism = 2 in

Height of the prism = $3\frac{1}{4}=\frac{13}{4}$ in

Volume of the prism = length × width × height

$$=20\times2\times\frac{13}{4}$

= 130 in³

Volume of the prism = 130 in³

Length of the cube = $\frac{1}{4}$ in

Volume of the cube = length × length × length

$$=\frac{1}{4} \times\frac{1}{4} \times\frac{1}{4}$

$$=\frac{1}{64} \ \text{in}^3$

Volume of the cube = 0.015625 in³

$$\text{Number of cubes}=\frac{\text{Volume of the prism}}{\text{Volume of cube}}$

$$=\frac{130}{0.015625}$

= 8320

Number of cubes = 8320

Hence 8320 cubes can fit into the prism.

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zachstonemoreau

31.07.2020

Mars travels at a rate of 24 km per second.

At this rate, Mars travel 240 km in 10 seconds.

Step-by-step explanation:

Mars revolves around the sun, it travels at a rate of approximately 15 miles per second.

1 mile = 1.6 km (given)

15 miles = $15\times1.6=24$ km

So, Mars travels at a rate of 24 km per second.

In 10 seconds, Mars will travel = $24\times10=240$ km

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