How many cubes with side lengths of \dfrac12 \text{ cm} 2 1 cmstart fraction, 1, divided by, 2, end fraction, start text, space, c, m, end text does it take to fill the prism?

Step-by-step explanation:

81 cubes are needed to fill the prism

Step-by-step explanation:

Volume of prism = 3 cubic units

Side lengths of cube = 1/3

Therefore the volume of the cube is,

V = a³ (a = side of the cube)

V = 1/3 × 1/3 × 1/3

= ( 1/3 )³

= 1/27 cubic units

To find the number of cubes needed to fill the prism, we need to divide the volume of cube by volume of the prism.

Number of cubes to fill the prism= Volume of prism / Volume of cube

= 3÷1/27

=3×27/1

= 81

Therefore, 81 cubes are needed to fill the prism

5 0

2 years ago

if two angles of a triangle each measure 50 degrees then what is the measure of the third angle of the triangle

uranmaximum [27]

Answer:

Step-by-step explanation:

Triangles angles measure 180 degrees when added.

You have 2 at 50 which makes 100 degrees.

180 - 100 = 80 degrees

7 0

2 years ago

A cereal company is creating new boxes for its product. In order to display the boxes, the stores they sell to require that the

SashulF [63]

If the problem says "space", that usually means that they are talking about volume. The maximum length the box can be is 8.4 inches. To find volume, you do length * width * height. You know the length and height, as well as the volume. You can replace the width with "x". Your equation should be:

11.5 * 8.4 * x = 272.8

Then you can just solve for x by dividing both sides by (11.5 * 8.4). The answer should be about 2.82 inches.

3 0

2 years ago