Answer:
1. The cylinder has a greater volume of 352 cm to 240 cm for the rectangular prism. Work shown below. Place into your own words.
2. The cylinder has a greater surface area than the rectangular prism at 276 cm instead of 268 cm. Work shown below. Place into your own words.
Step-by-step explanation:
First you have to know the formula for the Volume of the objects
For rectangular prism its: Width x Length x Height
For a cylinder its: Height x pi x Radius^2
With this information you can plug in the information that you already have
For rectangular prism: 10 cm x 8 cm x 3 cm = 240 cm
For the cylinder you have to find radius since its not given to you, while your diameter is, so your radius is diameter/2
For the cylinder: 7 cm x pi (3.14) x 4 cm^2 = 351.858 or 352 cm
1. So therefore, the cylinder has a greater volume because it is greater in centimeters
For the second question, the formula are changed since its now asking for Surface Area
You have to remember that surface area is all the surfaces that are outside the prism, or all the surfaces of the object
Surface Area formula for a rectangular prism is: 2( wl + hl + hw)
Surface Area formula for a cylinder is: 2πrh+2πr^2
All you have to do now is plug in your information
SA for rectangular prism: 2 ((10x8) + (3x8) + (10x3)) = 2 ((80) + (24) + (30)) =
2 (134) = 268 cm
SA for a cylinder: 2 x pi (3.14) x 4 x 7 + 2 x pi (3.14) x 4^2 = 175.929 + 100.531 = 276.460 or just 276 cm
So once again, the cylinder has a greater surface area than the rectangular prism
