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alienxangg91
10.12.2019 •
Mathematics
The volume of a rectangular prism is 75 cubic inches. the height is 3 inches.
which dimensions could be the length and width of the prism?
5 in. long and 5 in. wide
10 in. long and 2 in. wide
5 in. long and 4 in. wide
15 in. long and 5 in. wide
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Ответ:
A) 5 in. long and 5 in. wide
Step-by-step explanation:
Given:
Volume of a rectangular prism = 75 cubic inches
Height of prism = 3 inches
Volume of a rectangular prism is given by =![l\times w\times h](/tpl/images/0411/1512/29193.png)
where
representslength of base,
represents width of base and
represents height of the prism.
We will check the choices given by finding the volume for the given dimensions of length and width while height remains the same and see if it matches with the given volume of the prism.
A)![l=5\ in](/tpl/images/0411/1512/024e2.png)
![w=5\ in](/tpl/images/0411/1512/b9086.png)
Volume of prism =![5\times 5\times 3=75\ in^3](/tpl/images/0411/1512/87b4f.png)
B)![l=10\ in](/tpl/images/0411/1512/05522.png)
![w=2\ in](/tpl/images/0411/1512/a3c32.png)
Volume of prism =![10\times 2\times 3=60\ in^3](/tpl/images/0411/1512/3ebe4.png)
C)![l=5\ in](/tpl/images/0411/1512/024e2.png)
![w=4\ in](/tpl/images/0411/1512/87dfb.png)
Volume of prism =![5\times 4\times 3=60\ in^3](/tpl/images/0411/1512/fd142.png)
D)![l=15\ in](/tpl/images/0411/1512/86205.png)
![w=5\ in](/tpl/images/0411/1512/b9086.png)
Volume of prism =![15\times 5\times 3=225\ in^3](/tpl/images/0411/1512/db1c5.png)
So, we see that the dimensions given in option A would give the volume of prism = 75 cubic inches.
Ответ:
cosec x = 1 : ( Opposite/Hypotenuse) = 1 x ( Hypotenuse / Opposite )
cosec x = Hypotenuse/Opposite
C )