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.
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.
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