Question

The picture shows two sizes of shipping boxes with measurements in inches. The boxes are rectangular prisms. There are two rectangular prisms. Prism 1 has a height of 10 inches, length of 20 inches and a width of 7 inches. Prism 2 is smaller and to the right of Prism 1. Prism 2 has a height of 4 inches, length is 20 inches and width is 4 inches. Marcus shipped 1 of the larger boxes and 2 of the smaller boxes. Which equations show the total volume of the boxes Marcus shipped? Select the three equations that apply.

Answer 1

Using the volume of a rectangular prism, it is found that Marcus shipped 2040 in³ of the boxes.

What is the volume of a rectangular prism?

The volume of a rectangular prism of lenght l, width w and height h is given by:

V = lwh.

Prism 1 has dimensions of h = 10, l = 20, w = 7, hence it's volume in cubic inches is given by:

V1 = 20 x 10 x 7 = 1400 in³.

Prism 2 has dimensions of h = 4, l = 20, w = 4, hence it's volume in cubic inches is given by:

V2 = 20 x 4 x 4 = 320 in³.

Marcus shipped 1 of the larger boxes and 2 of the smaller boxes, hence the total volume is of:

V = V1 + 2V2 = 1400 + 2 x 320 = 2040 in³.

More can be learned about the volume of a rectangular prism at https://brainly.com/question/17223528