Algebraright question for Jai
posted by Mary .
In a right triangular prism, the legs of the base are each doubled, and the height is reduced by half. How does the new volume compare to the original volume of the same prism?
A.the new volume will be 1/2 as big as the original
B.the new volume will be two times bigger than original
C. the new volume will be 1/8 as big as original
D. the new volume will be 8 times bigger than original.

the volume of a triangular prism is given by
V = (1/2)*(B*H*L)
where
B = base
H = height
L = length
thus the new volume becomes,
V' = (1/2)*(2*B)(2*H)*L
V' = 2*(1/2)*(B*H*L) or
V' = 2*V
thus the new volume is twice the original.
note that first statement is tricky. i interpreted it as "the legs (base and height of triangle) of the base (meaning the base of the prism, which is a right triangle) are each doubled" thus saying that both base, B, and height, H is doubled, and not 1/2 of H. that's why in V', the H is multiplied by 2.
hope this helps~ :)
Respond to this Question
Similar Questions

Geometry
We have a triangular prism that has the following characteristics. It has a volume of 360 cubic inches. The base of the triangle is twice the height of the triangle. The difference between the height of the prism and the height of … 
math
a triangular prism has a volume of 896 cubic meters. If the prism is reduced by 1/4 of its original size what is the volume of the new prism? 
Algebra!!
1)volume of a ctlinder: 198mm Radius base: ? 
math
the dimensions of trianguloar prism A andtriangular prism B are proportional. The volume of the Triangular Prism is 6,400 cubic feet. If the volume of Triangular prism B is 75% of the volume of Triangular Prism B. What is the volume … 
EASY Volume of shapes
The right triangular prism has bases that are equilateral triangles. The height is 8 in and the side of the base is 5 in , what is the prism's volume? 
Geometry
A rectangular prism has a base that is 5 cm by 7 cm and a height of 12 cm. If all dimensions are doubled, what happens to the volume? 
geometry
The base of a right triangular prism is a right isosceles triangle whose equal sides measure 25 cm. each. The volume of the prism is 7.5 cubic meters. Find the height of the prism. 
math
The base of a triangular prism is a right triangle whose legs are 7cm and 24 cm. The height of the prism is 30cm. What is lateral area of prism? 
Geometry
The volume of a rectangular prism is 960 cubic inches. If the dimensions of the base are doubled and the height remains the same to create a new prism, what will be the volume of the new rectangular prism in cubic inches? 
Geometry
The base of a right triangular prism is a right isosceles triangle whose equal sides measure 25 cm each. The volume of the prism is 0.075 cubic meters. Find the height of the prism