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A rectangular prism has a
length of 2 1/2yd, a width of 1 1/2yd, and a height
of 1 1/2yd. You use cubes with fractional edge
lengths of 1/2 yd to find the volume. How many
cubes are there for each of the length, width,
and height of the prism? What is the volume of
the prism?

Sagot :

reinhard10158

Step-by-step explanation:

we need 2 1/2 × 2 = 5 cubes along the length.

1 1/2 × 2 = 3 cubes along the the width.

and 1 1/2 × 2 = 3 cubes along the height.

altogether we need

5×3×3 = 45 cubes

and the volume is

2 1/2 × 1 1/2 × 1 1/2 = 5/2 × 3/2 × 3/2 = 45/8 = 5 5/8 yd³

There are 96 cubes are there for each of the length, width, and height of the prism.

The volume of a rectangular prism is 12 yd³.

What is the prism?

A prism is a three-dimensional solid object in which the two ends are identical. It is the combination of flat faces, identical bases, and equal cross-sections.

A rectangular prism has a length of 2 1/2yd, a width of 1 1/2yd, and a height

of 1 1/2yd.

length 2 1/2 and half yd​ = 2 1/2+ (1/2) yd = 5/2 + 1/2 = 6/2= 3 yd

Width 1 1/2 and half yd​ = 1 1/2 + (1/2) yd = 3/2 + 1/2 =  (4/2) = 2 yd

Height 1 1/2 and half yd = 1 1/2 + (1/2) yd = 3/2 + 1/2 =  (4/2) = 2 yd

Cubes of edge length (1/3) yd are used to fill the rectangular prism.

The length would contain (3) ÷ (1/2) = 6

The width would contain (2) ÷ (1/2) = 4

The height would contain (2) ÷ (1/2) = 4

How many cubes are there for each of the length, width, and height of the prism?

6 × 4 × 4 = 96 cubes

There are 96 cubes are there for each of the length, width, and height of the prism.

What is the volume of the prism?

The volume of rectangular prism = 3 × 2 × 2 = 12

The volume of a rectangular prism is 12 yd³.

Learn more about prism here;

https://brainly.com/question/15084003

#SPJ2

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