164k views
4 votes
») A box has a length of 6 centimeters, a width of 4 centimeters, and a height of 5 centimeters. Jen filled the bottom layer of the box with 24 cubes. What is the volume of the box? 120 cubic centimeters 24 cubic centimeters 5 cm 4 cm 96 cubic centimeters 6 cm = 1 cubic centimeter 144 cubic centimeters

») A box has a length of 6 centimeters, a width of 4 centimeters, and a height of-example-1

1 Answer

2 votes

We can find the volume of the box by multiplying the length, width and heigth.

We can write this as:


V=l\cdot w\cdot h=(6\operatorname{cm})\cdot(4\operatorname{cm})\cdot(5\operatorname{cm})=(24\operatorname{cm})(5\operatorname{cm})=120\operatorname{cm}^3

The base layer is 24 cm^3 (24 cubes of 1 cm^3) because its the volume of width 4 cm and length 6 cm, with a height of 1 cm (the height of the cube).

If we multiply the number of cubes, 24 of 1 cm^3, by the real height, that is 5 times 1 cm, we get: 24 cm^3 * 5 = 120 cm^3.

Answer: the box has a volume of 120 cm^3

User Blake Niemyjski
by
4.6k points