Answer:
- The area of the base of the pyramid, B, is 24 cm
- A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 times volume of this pyramid.
Step-by-step explanation:
Volume of a rectangular based pyramid = 1/3{Base area × Height}
Base Area = Length × Breadth
Volume = 1/3{(Length × Breadth) × Height}
Given a rectangular pyramid with a height of 9 centimeters and a base with the dimensions of 4
centimeters by 6 centimeters
Base Area = 4cm × 6cm
Base area = 24cm²
If Height =9cm
Volume of the pyramid = 1/3 × 24 × 9
Volume = 24 × 3
Volume of the pyramid = 72cm³
If the shape is a prism, the volume will be base area × height
= 24 × 9
= 216cm³
It can be seen that volume of rectangular prism = 3 × volume of rectangular pyramid.
The perimeter of parallelogram WXYZ is 22
Answer:
The null hypothesis will be that the average annual donor income is less or equal to $ 100,000
Step-by-step explanation:
The claim is mostly treated as alternate hypothesis .
In this question the claim is given as the average annual donor income has increased therefore it is written as
Ha: u > 100,000
The null hypothesis is reverse of the alternate hypothesis
H0: u ≤ 100,000
The null hypothesis will be that the average annual donor income is less or equal to $ 100,000
Answer:
Volume of water and air is 3,000 mm³
Step-by-step explanation:
Given:
Length of base = 15 mm
Width of base = 20 mm
Height of figure = 30 mm
Find:
Volume of water and air is inside each of the plastic ice cubes.
Computation:
Height of each rectangular pyramid = Height of figure / 2
Height of each rectangular pyramid = 30 / 2
Height of each rectangular pyramid = 15 mm
Volume of each rectangular pyramid = lbh / 3
Volume of each rectangular pyramid = [15 × 20 × 15] / 3
Volume of each rectangular pyramid = [4,500] / 3
Volume of each rectangular pyramid = 1,500 mm³
Volume of water and air is inside each of the plastic ice cubes = 2 × Volume of each rectangular pyramid
Volume of water and air is inside each of the plastic ice cubes = 2 × 1,500
Volume of water and air is inside each of the plastic ice cubes = 3,000 mm³
the time taken to get to your work place is 0.5 hour.
The given parameters;
- distance between your new job and your house = 25 miles
- speed to work, v = 50 mph
The time taken to get to work is obtained by dividing the distance between your new job and your house, by speed of your motion to work.
Distance = speed x time
Thus, the time taken to get to your work place is 0.5 hour.
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