Abdoulaye models the volume of a popcorn box as a right rectangular prism. Its dimensions are 2 1/4 in by 2 1/4 in by 5 in. How many cubic inches of popcorn would it hold when it is full? Round your answer to the nearest tenth if necessary.
To find the volume of the popcorn box, we need to multiply its three dimensions: length, width, and height.
length = 2 1/4 in = 9/4 in
width = 2 1/4 in = 9/4 in
height = 5 in
Volume = length x width x height
Volume = (9/4) x (9/4) x 5
Volume = (81/16) x 5
Volume = 405/16
Volume ≈ 25.3 cubic inches
Therefore, the popcorn box would hold approximately 25.3 cubic inches of popcorn when it is full.
A can of soda can be modeled as a right cylinder. Suav measures its height as 11.6 cm and its radius as 2.7 cm.
Find the volume of the can in cubic centimeters. Round your answer to the nearest tenth if necessary.
To find the volume of a cylinder, we use the formula:
Volume = πr^2h
Given:
- Radius (r) = 2.7 cm
- Height (h) = 11.6 cm
Plugging these values into the formula:
Volume = π(2.7)^2(11.6)
Volume = π(7.29)(11.6)
Volume ≈ 300.4 cm^3
Therefore, the volume of the soda can is approximately 300.4 cubic centimeters.