0
What is the volume of the larger of two similar rectangular prisms if the smaller prism has a volume of 24 cu cm and a base of 4 cm while the larger prism has a base of 12 cm?
Wiki User
∙ 7y ago
As the two prisms are similar there are ratios between them.
The ratio of the lengths is 4 : 12 = 1 : 3
The ratio of volumes is the cubs of the ratio of lengths.
→ The volumes are in the ratio of 1³ : 3² = 1 : 27
As the a smaller prism has a volume of 24 cm³, the larger prism has a volume 27 times larger
→ volume larger prism = 27 × 24 cm³ = 648 cm³
Wiki User
∙ 7y ago
Add your answer:
Earn +20 pts
What do you get if you cut a rectangular prism in half?
two rectangular prisms but they are smaller
Why Are so Many Products Packed In Rectangular Prisms?
This is because there is no limit on rectangualar prisms and most boxes can hold cube or rectangular prisms not triangular pyrimids or prisms or hexagonal prisms.
How many types of prisms are there?
There are many types of prisms such as rectangular prisms,polyganic prisms crossed prisms and etc.
Are rectangles and rectangular prisms the same thing?
No, rectangular prisms are 3 dimensional and rectangles are only 2 dimensional.
How many edges are on prisms?
There are 48 edges on 4 rectangular prisms.
How do the dimensions and volume of similar rectangular prisms compare?
If the ratio of the dimensions of the larger prism to the smaller prism is r then the ratio of their volumes is r^3.
What do you get if you cut a rectangular prism in half?
two rectangular prisms but they are smaller
How are cylinders and rectangular prisms similar?
Cylinders are circles pulled out into the third dimension and rectangular prisms are rectangles pulled into the third dimension.
How are rectangular prisms are alike?
They are all rectangular prisms!
How is a pyramid and a rectangular prism similar?
They both have a rectangle at the bottom of the two prisms.
The surface areas of two similar hexagonal prisms are 882 and1058 What is the scale factor of the smaller prism to the larger prism?
It is 21/23.
Why Are so Many Products Packed In Rectangular Prisms?
This is because there is no limit on rectangualar prisms and most boxes can hold cube or rectangular prisms not triangular pyrimids or prisms or hexagonal prisms.
How many types of prisms are there?
There are many types of prisms such as rectangular prisms,polyganic prisms crossed prisms and etc.
How are rectangular prisms and cubes different?
Cubes have a square on each side, but rectangular prisms have rectangles or squares.
What do rectangular pyramids rectangular prisms have in common?
They are polyhedra.
What is a prism with six rectangular faces?
They can be rectangular prisms.
Is rectangular prisms are cubes?
No it is not
