Answer:
John need to remove <u>4760 cubic feet</u> of dirt.
Step-by-step explanation:
Given:
John is digging a hole for a swimming pool,the hole will be 28 feet long, 5 feet wide, 34 feet wide.
Now, to find the cubic feet of dirt John need to remove.
Length = 28 feet.
Width = 5 feet.
Height = 34 feet.
<u><em>As the swimming pool is in the shape of a rectangular prism.</em></u>
So, we put formula of volume to get the cubic feet of dirt need to remove:
Therefore, John need to remove 4760 cubic feet of dirt.
Answer:
(d) 944 mm³
Step-by-step explanation:
The volume of a prism is given by the formula ...
V = Bh
where B is the area of the base, and h is the distance between bases.
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<h3>base area</h3>
Here, the base of the prism is a rectangle with a semicircle on top. The circle has a diameter of 9 mm, so a radius of 4.5 mm. The area of the semicircle is ...
A = 1/2πr² = 1/2π(4.5 mm)² ≈ 31.809 mm²
The area of the rectangle is the product of its length and width.
A = LW = (9 mm)(6 mm) = 54 mm²
So, the total base area is ...
31.809 mm² +54 mm² = 85.809 mm²
<h3>prism volume</h3>
The prism volume is this area multiplied by the length of the figure:
V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³
The volume of the figure is about 944 mm³.
The slope of the line is 2/3, so the angle is arctan(2/3) ≈ 33.69°.
