Answer:
2). Volume = 14400 feet³
3). Volume = 157.5 ft³
Step-by-step explanation:
Both the figures given in the sheet attached are a rectangular pyramid and a triangular prism.
2). In this part of the question solid given is in the shape of an rectangular pyramid.
Volume of this oblique pyramid = 
Here 'B' = area of the base
h = height of the pyramid
Volume = 
= 14400 cubic feet
4). Volume of a triangular cone = (Area of the triangular base)×(height)
= ![[\frac{1}{2}(\text{Base})(\text{height})]\times {\text{height of the prism}}](https://tex.z-dn.net/?f=%5B%5Cfrac%7B1%7D%7B2%7D%28%5Ctext%7BBase%7D%29%28%5Ctext%7Bheight%7D%29%5D%5Ctimes%20%7B%5Ctext%7Bheight%20of%20the%20prism%7D%7D)
= 
= 157.5 ft³
Answer:
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Answer:
d. 944 mm^3
Step-by-step explanation:
The area of a circle is given by ...
A = πr² . . . . . where r is the radius, half the diameter
The area of a circle with diameter 9 mm is ...
A = π(4.5 mm)² = 20.25π mm²
The area of the semi-circular end of the prism is half this value, or ...
semicircle area = (1/2)(20.25π mm²) = 10.125π mm² ≈ 31.809 mm²
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The area of the rectangular portion of the end of the prism is the product of its width and height:
A = wh = (9 mm)(6 mm) = 54 mm²
Then the base area of the prism is ...
base area = rectangle area + semicircle area
= (54 mm²) +(31.809 mm²) = 85.809 mm²
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This base area multiplied by the 11 mm length of the prism gives its volume:
V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³
The volume of the composite figure is about 944 mm³.
That’s the same thing I’m on
Answer:
I got -64
Step-by-step explanation:
The begging multiplication is 0 and subtract -7 is becomes just -7 then add 3 and it is -4 to the third power is -64
