Jordan purchased a piece of fabric that is 18 cm by 18 cm in order to make a tent for her little sister’s dolls. Using the dimensions for the tent shaped as a triangular prism, how much fabric will be left over?
It's 84 guys
why do the bots always give the wrong answers these days, last year they were always so helpful :/
To calculate the total fabric used for the triangular prism tent, we need to find the surface area of the three rectangular faces and the two triangular faces.
The rectangular faces are 18 cm by 18 cm, so each rectangular face has an area of 18 cm x 18 cm = 324 cm^2. Since there are three rectangular faces, the total area for all three is 3 x 324 cm^2 = 972 cm^2.
The triangular faces are half the area of the rectangle, so each triangular face has an area of 1/2 x 18 cm x 18 cm = 162 cm^2. Since there are two triangular faces, the total area for both is 2 x 162 cm^2 = 324 cm^2.
Therefore, the total fabric used for the triangular prism tent is 972 cm^2 + 324 cm^2 = 1296 cm^2.
Since Jordan purchased a piece of fabric that is 18 cm by 18 cm, the total area of the fabric is 18 cm x 18 cm = 324 cm^2.
To find out how much fabric will be left over, we subtract the total fabric used for the tent from the total area of the fabric: 324 cm^2 - 1296 cm^2 = -972 cm^2.
There will be 972 cm^2 of fabric left over after making the triangular prism tent for her little sister’s dolls.