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nixie167
09.01.2021 •
Mathematics
Bodie purchases a rectangular prism ( a box ) to store his dog food in. The prism is LaTeX: \frac{7}{4}7 4 inches long, LaTeX: \frac{9}{4}9 4 inches wide, and 3 inches in height. Bodie's dog food are these cute little cubes that are each LaTeX: \frac{1}{4}1 4 inches long, wide, and high. If Bodie carefully stacks the dog food into the prism, how many little dog food cubes will fit in the prism?
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Ответ:
84dog cubes
Step-by-step explanation:
First we need to get the volume of the rectangular prism and the little cubes
Volume of the prism = base area × height
Volume f the prism = length × width × height
Given
Length = 7/4in
Width = 9/4in
Height = 3in
Volume of the prism = 7/4×9/4×3
Volume of the prism = 63/48
Volume of the prism= 21/16 in³
Volume of the cube = L³
L is the length of one side of the cube
Volume of the cube =(1/4)³
Volume of tje cube = 1/64in³
Number of dog food cubes that will fit in = 21/16÷1/64
= 21/16×64/1
= 21×4
= 84
Hence 84 dog cubes will fit in
Ответ:
yes
Step-by-step explanation: