Answer:
272 cm²
Step-by-step explanation:
Step 1
We have to find the scale factor
When given the volume of two solids, the formula for the scale factor is
V1/V2 = (Scale factor)³
The volume of Pyramid A is 704 cm³ and the volume of Pyramid B is 297 cm³
V1 = Pyramid A
V2 = Pyramid B
704/297 = (scale factor)³
We simplify the left hand side to simplest fraction
The greatest common factor of 704 and 297 = 11
704÷11/297÷11 = (scale factor)³
64/27 = (scale factor)³
We cube root both sides
cube root(scale factor)³ = cube root (64/27)
scale factor = (4/3)
Step 2
(Scale factor)² = S1/S2
S1 = Surface area of Pyramid A =?
S2 = Surface area of Pyramid B = 153 cm²
Hence,
(4/3)² = S1/153
16/9 = S1/153
Cross Multiply
S1 × 9 = 16 × 153
S1 = 16 × 153/9
S1 = 272 cm²
Therefore, the Surface Area of Pyramid A = 272 cm²
Answer:
square root of 81
square root of 1000
square root of 34
square root of 169
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
Initial ratio:
Teachers to students
1 : 15
Ratio after:
Teachers to students
3 : 40
The number of students did not change, so we can make the students of the initial ratio and the students of the ratio after the same.
1 : 15 = 8 : 120
3 : 40 = 9 : 120
120 units = 1200
1 unit = 
Initial teachers = 8 units = 
Answer:
2.5
Step-by-step explanation:
