An artist needs to enlarge a statue by making each linear dimension 75% greater. If N cm^3 of clay was used to make the original sculpture, how many cubic centimeters of clay are needed to make the larger sculpture?
A: N+(0.75)^3
B: N⋅(0.75)^3
C: N⋅(1.75)^3
D: N⋅1.75
ill give 40 points to correct answer
Answers
Answer:
An artist needs to enlarge a statue by making each linear dimension 75% greater. If N cm^3 of clay was used to make the original sculpture, how many cubic centimeters of clay are needed to make the larger sculpture?
A: N+(0.75)^3
B: N⋅(0.75)^3
C: N⋅(1.75)^3
D: N⋅1.75
ill give 40 points to correct answer
Answer:
Answer:
1.75N^3 is your answer
Step-by-step explanation:
Question:
An artist needs to enlarge a statue by making each linear dimension 75% greater. If N cm^3 of clay was used to make the original sculpture, how many cubic centimeters of clay are needed to make the larger sculpture?
Given:
Each linear dimension to enlarge the statue is 75% greater
N cm^3 of clay was used to make the original sculpture
To find:
Number of Cubic centimeters of clay to make larger sculpture
Solution:
In this question, an artist enlarges a statue from the actual statue which is N cm^3
To enlarge it, the linear dimensions should be 75% greater
So, According to the question,
Enlarged statue = 75% of N cm^3
= 75/100 \times× N cm^3
= 0.75 N cm^3
To get the number of cubic centimeters of clay, we need to add the cubic centimeters of the original statue and to that of the enlarged statue
= N^3 + 0.75N^3
Take N^3 as common:-
N^3(1+0.75)
N^3 (1.75)
= 1.75N^3
Final answer:
1.75N^3 is your answer