Question

Evan has a storage unit that he keeps all his garden tools in. It measures 4 feet by 31 2 feet by 2 feet. A prism has a length of 4 feet, height of 2 feet, and width of 3 and one-half feet. What is the maximum amount of supplies that the storage unit can hold? To answer the question, find the _______ . The maximum amount of space is_____ ft3.

Answer 1

Answer:

a. we are to find the volume of Evan's storage unit

b. The maximum amount of space that is  within the storage unit is $28ft^{3}$

Step-by-step explanation:

 Extracting the key information from the question:-

*** Evan has a storage unit that he keeps his garden tools.

*** This storage unit measures 4 feet by $3\frac{1}{2}feet$ by 2 feet.

*** We are basically required to calculate the maximum amount of supplies that the storage unit is able to hold.

   Since the storage unit has a length of 4 feet, height of 2 feet and width of $3\frac{1}{2}$ feet, we can calculate the amount of supplies that the storage unit can hold using the formula for calculating the volume of a rectangular prism.

   Volume by the way refers to the quantity of space that is enclosed in a container or an item occupies.

   This then means that we are required to calculate the amount of space that is enclosed by Evan's storage unit. Given the dimensions that were offered, Evan's storage unit is most likely a rectangular prism.

   In order to calculate the volume or amount of space in Evan's prism, we will put down the formula for calculating the volume volume of rectangular prisms:

= Length × width × height.

 

 Where length = 4 feet, width = $3\frac{1}{2}$ feet and the height of the prism = 2 feet.

  Substituting appropriately, we will have:

   4 × $3\frac{1}{2}$ × 2 = $\frac{4}{1} *\frac{7}{2} *\frac{2}{1}$= $28 ft^{3}$

°°°° So, we are to find the VOLUME.

°°°° The maximum amount of space in the prism is $28 ft^{3}$