Question

Please help me with this. i don't understand it.

Answer 1

A. 11160 cubes B. 1395cm^3

Explanation:

Volume= length x width x height

Its easiest to solve B. first and use it to solve A.

B. 7.5 x 12 x 15.5 = 1395cm^3 (volume of prism)

A. .5 x .5 x .5 = 1/8cm^3 (which is the volume of the cube)

1395 ÷ 1/8 = 11160

Answer 2

Explanation:

1) Rectangular prism: l = 7.5 cm ; w = 12 cm ; h = 15.5cm

Volume of rectangular prism = l * w * h

Cubes: edge = 0.5cm

Volume of cube = edge *edge * edge

Number of cubes = Volume of rectangular prism ÷ Volume of a cube

`=(7.5 * 12 * 15.5)/(0.5*0.5*0.5)\\\\ = (7.5 * 12 * 15.5*1000)/(0.5 *0.5 *0.5 *1000)\\\\= (75 * 12 *155 * 10)/(5 * 5 * 5)\\\\= 3 * 12 * 31 * 10\\\\= 11160`

11160 cubes will fit in the prism.

2) Volume of prism = 7.5 * 12 * 15.5

= 1395 cm³