The volume of prism L is 750 cm³
What is a prism?
A prism is a three-dimensional solid, that has two identical bases, rectangular or parallelogram-shaped faces, and the same cross-section.
The formula for the volume of a prism is V=Bh,
where B = base area and h = height.
We have,
Two similar prism
Prism L:
Length = 8 cm
Prism M:
Length = 20 cm
Volume = 1875 cm³
Applying the volume formula:
V = Bh
Base area = Length x width
1875 = Length x width x height
1875 = 20 x width x height
Width x height = 1875 / 20 = 93.75 _______(1)
Since prisms are similar we can use (1) in finding the Volume of prism L.
The volume of prism L:
= Length x width x height
= 8 x 93.75
= 750
Thus the volume of prism L is 750 cm³
Learn more about prism here:
https://brainly.com/question/13379929
#SPJ1
The complete question is:
L and M are two mathematically similar prisms.
Prism L has a length 8 cm.
Prism M has a length 20 cm.
Prism M has a volume of 1875 cm3
Work out the volume of prism L.
