Answer:
2√39 cm
Step-by-step explanation:
ΔXYZ is an isosceles triangle & XY = XZ, therefore:
YX' = X'Z
= 20 ÷ 2
= 10 cm
ΔXYZ' is a right triangle, therefore:
XY² = YX'² + XX'²
16² = 10² + XX'²
XX'² = 256 - 100
XX' = √156
= 2√39 cm
a height of 23 cm. What is
the volume of the prism?
Answer:
The volume of the rectangular prism is 207cm³
Step-by-step explanation:
To calculate the volume of a triangular prism we have to use the following formula:
a = area = 9cm²
v = volume
h = height = 23cm
v = a * h
we replace the values that we know
v = 9cm² * 23cm
v = 207cm³
The volume of the rectangular prism is 207cm³