croxy0514

29.05.2020 •

Mathematics

What will the car’s fuel efficiency be when it is driven at a speed of 40 miles per hour?

Solved

Show answers

Ответ:

ruba806

24.01.2020

Mathematics

Given:

The length of the rectangular prism is 2 cm.

The width of the prism is $\frac{7}{4}$ cm.

The height of the prism is 1 cm.

The side lengths of the cube is $\frac{1}{4}$ cm.

We need to determine the number of cubes with side lengths $\frac{1}{4}$ would fill the prism.

Volume of the cube:

The volume of the cube can be determined using the formula,

V=s^3

Substituting the value, we get;

$V=(\frac{1}{4})^3$

$V=\frac{1}{64}$

Thus, the volume of the cube is $\frac{1}{64} \ cm^3$

Volume of the rectangular prism:

Volume of the rectangular prism can be determined using the formula,

V=lwh

Substituting the values, we get;

$V=2\times \frac{7}{4} \times 1$

$V=3.5 \ cm^3$

Thus, the volume of the rectangular prism is 3.5 cm³

Number of cubes:

The number of cubes can be determined by dividing the volume of the prism by the volume of the cube.

Thus, we have;

$No. \ of \ cubes=\frac{3.5}{\frac{1}{64}}$

$No. \ of \ cubes=3.5 \times 64$

$No. \ of \ cubes=224$

Thus, the number of cubes that fill the prism are 224 cubes.

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice