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daelinrobinson
31.01.2021 •
Mathematics
how many 1/4 inch cubes does it take to fill a box with width 1 inches, length 3 3/4 and height 1 1/2 inches?
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Ответ:
360
Step-by-step explanation:
Given
the side length of the cube![a=\frac{1}{4}\ inch](/tpl/images/1080/9105/20e7f.png)
The dimension of the box is![1\times3 \frac{3}{4}\times 1 \frac{1}{2}=1\times\frac{15}{4}\times\frac{3}{2}\ inch^3](/tpl/images/1080/9105/e0dd2.png)
the volume of each cube![=a^3=(\frac{1}{4})^3](/tpl/images/1080/9105/5a943.png)
No. of cubes that can be fit into the box![=\dfrac{\text{vol. of box}}{\text{vol. of each cube}}](/tpl/images/1080/9105/5003c.png)
Therefore 360 cubes can be fit into the box
Ответ:
Answer is D) 2,072.73