Mathematics, 13.05.2021 17:10 diangeloortiz
The perimeter of base dhgc is 30 inches, and the perimeter of base swvr is 20 inches. Complete the table with the ratios of the heights, surface areas, and volumes of these two similar rectangular prisms. Assume the ratios are written in the form figure 1 : figure 2.
Answers: 1
(1)
(2)
(3)
, 
- Perimeters of the small cuboid and the big cuboid, in inches.
, 
- Surface areas of the small cuboid and the big cuboid, in square inches.
, 
- Volumes of the small cuboid and the big cuboid, in cubic inches.![4\cdot (w' + h' + l') = k_{p}\cdot [4\cdot (w + h + l)]](/tpl/images/1321/3144/fdbcd.png)
![4\cdot (k\cdot w'+ k\cdot h' + k\cdot l) = k_{p}\cdot [4\cdot (w+h+l)]](/tpl/images/1321/3144/c2d90.png)
![2\cdot (w'\cdot h' + l'\cdot w' + l' \cdot h') = k_{A_{s}}\cdot [2 \cdot(w\cdot h + l \cdot w + l\cdot h)]](/tpl/images/1321/3144/1bd38.png)
![2\cdot [(k\cdot w')\cdot (k\cdot h') + (k\cdot l)\cdot (k\cdot w) + (k\cdot l)\cdot (k\cdot h)] = k_{A_{s}}\cdot [2\cdot (w\cdot h + l\cdot w + l\cdot h)]](/tpl/images/1321/3144/b8173.png)
.
and 
, then we proceed to calculate all the ratios:
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The perimeter of base dhgc is 30 inches, and the perimeter of base swvr is 20 inches. Complete the t...
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