The perimeter of base dhgc is 30 inches, and the perimeter of base swvr is 20 inches. Complete the table with the ratios of the heights, surface areas, and volumes of these two similar rectangular prisms. Assume the ratios are written in the form figure 1 : figure 2.

Ratio of heights: 3 : 2

Ratio of surface areas: 9 : 4

Ratio of volumes: 27 : 8

Step-by-step explanation:

Since both cuboids are proportional, then we must derive expressions for the ratios of heights, surface areas and volumes from the following identities:

Perimeter

(1)

Surface area

(2)

Volume

(3)

Where:

, - Perimeters of the small cuboid and the big cuboid, in inches.

, - Surface areas of the small cuboid and the big cuboid, in square inches.

, - Volumes of the small cuboid and the big cuboid, in cubic inches.

By means of geometry formulas we expand the system of equations below:

Perimeter

Surface area

Volume

Where .

If we know that and , then we proceed to calculate all the ratios:

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98