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a rectangular box is 2 cm high,4 cm wide and 6,cm deep. Michelle packs the box with cubes,each 2 cm by 2 cm by 2 cm,with no space left over.How many cubes does she fit in the box?

Sagot :

misspancitcanton

Answer:

6 cubes fit in the box.

Step-by-step explanation:

Volume Word Problem

Let us analyze the problem.

What is asked?

The number of cubes that fit in the box.

What are the given?

dimensions of the rectangular box

2 cm by 4 cm by 6 cm

dimensions of the cube:

2 cm by 2 cm by 2 cm

There are three steps to find the number of cubes that fit in the box.

  1. Find the volume of the rectangular box.
  2. Find the volume of the cube.
  3. Divide the volume of the rectangular box by the volume of the cube.

What is the formula?

1. Find the volume of the rectangular box.

To find the volume of the rectangular box, we are going to use the formula in finding the volume of a rectangular prism.

Volume = l × w × h

It is length (l) times width (w) and times height (h).

2. Find the volume of the cube.

To find the volume of the cube, we have the formula, side times side times side.

Volume = s³

3. Divide the volume of the rectangular box by the volume of the cube.

rectangular box ÷ cube = N

Solution:

Substitute the values.

Step #1

Volume = l × w × h

= 2 cm × 4 cm × 6 cm

= 48 cm³

The volume of the rectangular box is 48 cm³.

Step #2

Volume = s³

= 2 cm × 2 cm × 2 cm

= 8 cm³

The volume of the cube is 8 cm³.

Step #3

rectangular box ÷ cube = N

48 cm³ ÷ 8 cm³ = 6

6 cubes

Final Answer:

6 cubes fit in the box.

VOLUME

What is volume?

Volume is the measurement of how much space a three dimensional object takes up.

Volume of a Rectangular Prism

Rectangular Prism

Rectangular prism is a three-dimensional shape with a width, height and a length.

To find the volume of the rectangular prism, multiply the length, the width, and the height. You can multiply them in any order.

Volume = l × w × h

For examples of word problems involving the volume of a rectangular prism, visit the links.

https://brainly.ph/question/11379

https://brainly.ph/question/2373188

https://brainly.ph/question/1456232

Volume of a Cube

Cube

Cube is a special case for a box. All the sides of a cube are the same length. You can find the volume of a cube by just knowing the measurement of one side. Then, multiply the measure of one side by itself, three times

Volume = s³

For examples of word problems involving the volume of a cube, visit the links.

https://brainly.ph/question/2075060

https://brainly.ph/question/2098724

Units of Measure

When you find the volume of an object, the units are cubed (³).

#LetsStudy

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