Mark wants to build a ramp in the shape of a triangular prism out of solid wood. The ramp is drawn below with its dimensions.

Mathematics

1 answer:

Licemer1 [7]2 years ago

3 0

Answer:

2,250 ft³ wood need to construct the ramp.

Step-by-step explanation:

Given:

Length of ramp = 20 ft

Base of ramp = 15 ft

Height of ramp = 15 ft

Given figure is a right triangular prism.

Find:

Volume of right triangular prism = ?

Computation:

$Volume\ of\ right\ triangular\ prism = \frac{1}{2}(base)(heght)(length)\\\\ Volume\ of\ right\ triangular\ prism = \frac{1}{2}(15)(15)(20)\\\\Volume\ of\ right\ triangular\ prism = 2,250\ ft^3\\\\$

Therefore, 2,250 ft³ wood need to construct the ramp.

You might be interested in

PLEASE HELP! A positive number is 1/3 of another number. The sum of the numbers is five less than the square of the larger numbe

antoniya [11.8K]

Answer: The numbers are 1 and 3.

Step-by-step explanation:

Let x = smaller number , y= larger number.

As per given,

$x=\dfrac{y}{3}$ ...(i)

$x+y=y^2-5$ ...(ii)

Put value of x from (i) in (ii)

$\dfrac{y}{3}+y=y^2-5\\\\\Rightarrow\ \dfrac43y=y^2-5\\\\\Rightarrow\ 3y^2-4y-15=0\\\\\Rightarrow\ 3y^2-9y+5y-15=0\\\\\Rightarrow\ 3y(y-3)+5(y-3)=0\\\\\Rightarrow\ (y-3)(3y+5)=0\\\\\Rightarrow\ y=3 \ \ or\ y=\dfrac{-5}{3}$