Respuesta :
A pencil box has dimensions of 6 1/2 inches, 3 1/2 inches, and 1 1/2 inches, respectively. 42 number of cubes with side lengths of 1/2 inches would be needed to fill the prism.
What is the volume of the cuboid?
The volume of the cuboid is the product of the length, breadth, and height of the given prism.
Volume of cuboid = (length x width x height)
A pencil box has dimensions of: 6 1/2 inches, 3 1/2 inches, and 1 1/2 inches, respectively.
Volume of cuboid = (length x width x height)
[tex]= 6\dfrac{1}{2} \times 3\dfrac{1}{2} \times 1\dfrac{1}{2} \\\\= 10\dfrac{1}{2}\\\\= 21/2[/tex]
The volume of a cube = side x side
= 1/2 x 1/2
= 1/4
Number of cube needs to fill the prism x volume of a cube = Volume of cuboid
n x 1/4 = 21/2
n = 42
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