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 answer is 3.75 or 3 3/4
In this situation you would have to use ratios to figure it out.
AD over EH or 24/16 that would be equal to 1.5
This would show that BC over GF is also equal to 1.5.
6/4 is equal to 1.5.
Side length BC is 6
9514 1404 393
Answer:
y = -3/8x -23/8
Step-by-step explanation:
The slope is found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-4 -(-1))/(3 -(-5)) = -3/8
Then the point-slope equation of the line is ...
y -k = m(x -h) . . . . line with slope m through point (h, k)
For m = -3/8 and (h, k) = (-5, -1), the line is ...
y +1 = -3/8(x +5)
In slope-intercept form, this is ...
y = -3/8x -23/8
