what happens to the volume if a rectangular prism when each if the dimensions is doubled?
a. it doubles.
b. it quadruples.
c. it is six times as great.
d. it is eight times as great.
Lesson 9: Rectangular Prisms and Volume
27.0210002 Math 6 B Unit 3: Geometry and Measurement
quiz answer are
1. triangular pyramid
2. 346 m^2
3. 98 ft^3
4. 8 in x 10
5. It is eight times as great
1. triangular pyramid
2. 346 m^2
3. 98 ft^3
4. 8 in x 10
5. It is eight times as great
Dose anyone know the answers to all of them please
david is right
To determine what happens to the volume of a rectangular prism when each of the dimensions is doubled, we need to understand how the volume of a rectangular prism is calculated.
The volume of a rectangular prism is found by multiplying the length, width, and height of the prism. Mathematically, it can be expressed as:
Volume = Length * Width * Height
If all three dimensions (length, width, and height) are doubled, it means each dimension is multiplied by 2. Let's denote the original dimensions as l, w, and h, and the doubled dimensions as 2l, 2w, and 2h.
Now we can calculate the new volume:
New Volume = (2l) * (2w) * (2h)
= 2 * 2 * 2 * l * w * h
= 8 * Volume
The new volume is 8 times the original volume. Therefore, the correct answer is:
d. It is eight times as great.
original volume is v = xyz
so, double each dimension and the new volume
v' = (2x)(2y)(2z) = 8xyz = = 8v