Hey there :)
We know the volume formula of a triangular prism
Volume = base area × height of prism
We are given:
Base of triangle = 5 ft
Height of triangle = 3 ft
Height of prism = 7.5 ft
Apply the formula
V =

( 5 )( 3 ) × 7.5
= 7.5 × 7.5
= 56.24 ft³
We can find the value of PT from given information
PT = 4x - 6 and TQ = 3x + 4
if PT = TQ
4x - 6 = 3x + 4
4x - 3x = 4 + 6
x = 10
now put the value of x into PT = 4x - 6
PT = 4 (10) - 6
=40 - 6
PT = 34
The value of PT = 34
The diagonal of the square is 9.1?
Good afternoon,
First side= 8cm
Third side= x
Second side= 2x-4
We know that the sume of the lenghts of any two sides must be greater than the third side, so:

<span>
Answer: Third side= x ; where: x>4 or (4,+infinity) Second side= 2x-4 ; </span><span>
where: x>4 or (4,+infinity)</span>