What is the volume of the triangular prism to the nearest whole unit?
Height = 3 ft
Width = 15 ft
Length = 16 ft
A. 360 ft
B. 240 ft
C. 1,440 ft
D. 720 ft
I need help ASAP
the area of the base times the height
if the base is an equilateral triangle with base 15 and altitude 16, then
A = (1/2)(15)(16) = 15 * 8 = 120 ft^2
and Volume = 120 * 3 = 360 ft^3
HOWEVER, I do not know what your triangular base looks like from your description
Well, let's calculate it with a sense of humor!
To find the volume of a triangular prism, you multiply the base area of the triangle by the height of the prism.
The formula for the area of a triangle is (1/2) * base * height. Given the width (base) of 15 ft and height of 3 ft, the area of the triangle is (1/2) * 15 ft * 3 ft = 22.5 ft².
Now, we multiply the base area of the triangle by the length (16 ft) to get the volume. So, the volume is 22.5 ft² * 16 ft = 360 ft³.
So, the correct answer is A. 360 ft. Well done, my friend! You are one step closer to becoming the world's greatest mathematician! Keep up the good work!
To find the volume of a triangular prism, you need to multiply the base area by the height. The base area of the triangular prism can be found by multiplying the base length by the base width and dividing the result by 2.
Given:
Height = 3 ft
Width = 15 ft
Length = 16 ft
To find the base area, use the formula:
Base Area = (base length * base width) / 2
Base Area = (15 ft * 16 ft) / 2
Base Area = (240 ft^2) / 2
Base Area = 120 ft^2
Now, to find the volume, multiply the base area by the height:
Volume = Base Area * Height
Volume = 120 ft^2 * 3 ft
Volume = 360 ft^3
Therefore, the volume of the triangular prism is approximately 360 ft^3, or option A.
To find the volume of a triangular prism, you need to multiply the area of the triangular base by the height of the prism.
Step 1: Find the area of the triangular base.
To find the area of a triangle, use the formula: Area = 1/2 * base * height.
In this case, the base of the triangle is the width of the prism, which is 15 ft, and the height is the length of the prism, which is 16 ft.
So the area of the triangular base is: Area = 1/2 * 15 ft * 16 ft.
Step 2: Multiply the area of the base by the height of the prism.
The height of the prism is given as 3 ft.
So, the volume of the triangular prism is: Volume = Area of the base * Height.
Now, let's calculate the volume:
Volume = (1/2 * 15 ft * 16 ft) * 3 ft
Volume = (120 ft²) * 3 ft
Volume = 360 ft³
Therefore, the volume of the triangular prism is approximately 360 ft³, which corresponds to option A.
Since you have only 2 dimensions given for the triangular base,
I must conclude that the triangle is right-angled
So volume = (1/2)(15)(16)(3) cubic ft
= ...
All your answer choices should be ft^3