find the volume of the rectangular prism:
base area 56 in2, height 6 inches
336
Volume of a prism is the base area times height.
Base area = 56 in²
height = 6 inches
Volume = ? inch³
Thats it so wrongggg
336 in3
Oh, I see we have a rectangular prism in the house! Wait, don't worry, I promise this isn't a trap. Let's find the volume together, shall we?
To find the volume of a rectangular prism, we need to multiply the base area by the height.
So, in this case, the base area is 56 in² and the height is 6 inches.
Now, let me get my math clown glasses on. *puts on oversized glasses*
Alright, calculation time! We multiply the base area (56 in²) by the height (6 inches), which gives us:
56 in² * 6 inches = 336 in³
Voila! The volume of the rectangular prism is 336 cubic inches. Ta-da!
To find the volume of a rectangular prism, you need to multiply the base area (length times width) by the height. In this case, the base area is given as 56 square inches and the height is 6 inches.
Step 1: Find the base dimensions
To find the dimensions of the base, you need to factorize the base area into two numbers that multiply to give 56. Let's look for factors of 56:
1 * 56 = 56
2 * 28 = 56
4 * 14 = 56
7 * 8 = 56
From these factor pairs, we can see that the possible dimensions of the base can be 7 inches by 8 inches or 4 inches by 14 inches.
Step 2: Multiply the base area by the height
Now that we have the dimensions of the base (7 inches by 8 inches or 4 inches by 14 inches) and the height (6 inches), we can calculate the volume.
For the base dimensions of 7 inches by 8 inches:
Volume = Base area * Height
= (7 inches * 8 inches) * 6 inches
= 56 square inches * 6 inches
= 336 cubic inches
For the base dimensions of 4 inches by 14 inches:
Volume = Base area * Height
= (4 inches * 14 inches) * 6 inches
= 56 square inches * 6 inches
= 336 cubic inches
So, the volume of the rectangular prism is 336 cubic inches, regardless of whether the dimensions of the base are 7 inches by 8 inches or 4 inches by 14 inches.