a rectangular prism has a volume of 1374.28 cubic inches.The prism is 9.4 inches wide and 17.2 inches long.What is the height of
1 answer:
The volume V of a prism can be found by:
The volume of a rectangular prism can be found through:
Where l is the length, w is the width, and h is the height.
The height can be found by rearranging the equation to:
Take the volume (1374.28) and divide it by the length times the width (9.4*17.2=161.68).
1374.28/161.68= 8.5 inches is the height of the prism.
The volume of a rectangular prism can be found through:
Where l is the length, w is the width, and h is the height.
The height can be found by rearranging the equation to:
Take the volume (1374.28) and divide it by the length times the width (9.4*17.2=161.68).
1374.28/161.68= 8.5 inches is the height of the prism.
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Take the augmented matrix,
Swap the row 1 and row 2:
Add -2(row 1) to row 2, and -1(row 1) to row 3:
Add -1(row 2) to row 3:
Multiply through row 3 by 1/9:
Add 5(row 3) to row 2:
Multiply through row 2 by -1/3:
Add -2(row 2) and -1(row 3) to row 1:
So we have .