Answer:
The true statements include
- the new prism will have a length of 5
- the new prism will have a depth of 4
Step-by-step explanation:
The options as obtained from the internet.
- the new prism will have a length of 5
- the new prism will have a depth of 4
- the new prism will have a height of 2
- the volume will increase by 6 and each of the 3 dimensions is increased by 2.
- srekar could increase the volume by the same amount by just adding 6 to the height instead of 2 to each side
The volume of a rectangular prism is (length × depth × height)
Originally, length = 3 inches
Depth = 2 inches
Height = 1 inch
Original volume = 3×2×1 = 6 in³
Then, Sreka adds 2 inches to each of the dimensions,
New length = 3+2 = 5 inches
New depth = 2+2 = 4 inches
New height = 1+2 = 3 inches
New volume = (5×4×3) = 60 in³
Taking each of the statements one at a time
Statement 1
the new prism will have a length of 5
True!
Statement 2
the new prism will have a depth of 4
True!
Statement 3
the new prism will have a height of 2
False! New height = 3 inches
Statement 4
the volume will increase by 6 and each of the 3 dimensions is increased by 2.
This is false. The volume increased to 10 folds of its original volume.
Statement 5
srekar could increase the volume by the same amount by just adding 6 to the height instead of 2 to each side
Adding 6 inches to the height,
New height = 1+6 = 7 inches
New volume = 3×2×7 = 42 in³
This statement is false as the new volume from adding 2 inches to each side is 60 in³
Hope this Helps!!!
