We know that
volume of <span>a rectangular prism =B*h------> equation 1
where
B is the area of the base
h is the height
volume of </span><span>a rectangular pyramid=(1/3)*B*h-----> equation 2
where
</span>B is the area of the base
h is the height
<span>
substitute equation 1 in equation 2
</span>volume of a rectangular pyramid=(1/3)*volume of a rectangular prism
<span>
the answer part a) is
</span>volume of a rectangular pyramid=(1/3)*volume of a rectangular prism
<span>
Part b) </span><span>If the pyramid was full of water, how much of the prism would it fill up?
</span>
the answer part b) is
<span>If the pyramid was filled with water, the prism would only fill 1/3 of its volume
Part c) </span><span>Name another pair of three-dimensional objects that have a relationship similar to this
cones and cylinders
</span>volume of a cylinder =B*h------> equation 1
where
B is the area of the base
h is the height <span>
</span>volume of a cone=(1/3)*B*h-----> equation 2
where
B is the area of the base
h is the height
substitute equation 1 in equation 2
volume of a cone=(1/3)*volume of a cylinder
21.6 ÷ 0.4 = 54 times for green
21.6 ÷ 0.6 = 36 times for purple
Together, 90 beads. Separately, 54 green and 36 purple.
I'll use multiples of 2 and 4 as an example:
Multiples of 2: 2, 4, 6, 8...
Multiples of 4: 4, 8, 12, 16...
The least common multiple in this case is 4. The LCM is always ≥ the largest starting number, which is 4 for this example. Therefore, the statement is true.
<em>Hope this helps! :)</em>
Answer:
B. 1 1/4
Step-by-step explanation:
You have to subtract 1 3/4 with 1/2 which gives you 5/4 so when you simplify its 1 1/4.