Cal's go cart has a gas tank with the dimensions shown below. He uses a gas can that holds 1 gallon of gas, to fill the go cart tank. 1 gallon= 231 inches cubed. How many full gas cans will it take to fill the go cart's gas tank?

Respuesta :

Hello dear,

There are no dimensions in your question so I fixed random dimensions to enable you understand what you were required to do in this particular circumstance. Please endeavor to see the attached for an idea of what the go cart's tank looks like.

Answer:

6 full gas cans will be required to fill the go cart's tank

Step-by-step explanation:

Since Cal's go cart has a gas tank with the following dimensions:

Length = 11 inches

Breadth = 9 inches

Height = 14 inches

We will first determine the volume of Cal's go cart's tank in cubic inches before we can then determine how many full gas cans it will take to fill it. Since the gas tank takes the shape of a cuboid, we will make use of the formula for calculating the volume of a cuboid to determine the tank's volume.

The formula for calculating the volume of a cuboid is = Length × breadth × height.

Since the length of the gas tank is 11 inches, the breadth, the breadth is 9 inches and the height is 14 inches. The volume of the cart is then:

11 × 9 × 14

= 1,386 inches^3.

Now, we were informed that Cal uses a gas can that has the capacity to hold 1 gallon of gas to fill the go cart's tank.

If 1 gallon is equal to 231 cubic inches, we can always determine how many full gas cans that can fill up the go cart.

231inches^3 --------1gallon

1,386inches ^3 ----- ?gallons

1386/231 × 1

= 6 gallons.

Again if:

1 gallon ------- 1 gas can

6 gallons ------- ? gas cans

= 6/1 × 1

= 6 gas cans.

Therefore, 6 gas cans that hold 1 gallon of gas each will be required to fill the go cart's gas tank

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