Question

Part B in the previous question, how does the weight of the larger prism compare to the weight of the smaller prism

The weight of the larger prism is twice the weight of the smaller
The weight is 4 times the weight of the smaller one
The weight is 16 times the weight of the smaller
The weight is 64 times the weight of the smaller

Answer 1

Step-by-step explanation:

Answer: Option D.

Step-by-step explanation:

Weight is referred to as the mass of an object. It measures the quantity of matter in an object. Volume is the amount of space being occupied by an object. The smaller and the larger prism have the same uniform material.

The ratios of the smaller to the larger prism is 9:36.

9/36 = 1/4.

So, then the volume is three times the value of 1/4 which is the cubic value.

1/4 × 1/4 × 1/4 = 1/64.

= 1:64

From the calculation, it can be deduced that the weight of the larger prism is 64 times the weight of the smaller prism.

Answer 2

A regular pentagonal prism has 9 centimetre base edge. A larger, similar prism of the same material has 36 cm base edge. After comparing, The weight of the larger prism is 64 times the weight of the smaller prism.

Answer: Option B

Step-by-step explanation:

The relationship between weight and volume is indirect yet relative in nature. The volume of an object is the space that is occupied by the respective object, whereas, the weight of the object is its mass. The smaller and the larger prism are made of the same uniform material.

Given values in ratios as 9:36, it can be written as 1:4. So, then the volume is the cubic value,

`1^(3): 4^(3)` = 1:64

It is found after comparing the weight of the larger prism to the weight of the smaller prism that the weight of the larger prism is 64 times the weight of the smaller prism.