Hillary glued three rectangular pieces of cardboard together to create a house for her lizard in the shape of a triangular prism. The dimensions are shown in the image below.What is the lateral surface area of the lizard’s new home?
i didnt even help w it but okey TwT
To find the lateral surface area of the lizard's new home, we need to calculate the area of each of the three rectangular faces that make up the triangular prism.
First, let's determine the dimensions of the rectangular faces. The image is not available here, so I'll provide an example for clarity. Let's assume that the triangular prism has a height of 10 units and its base is an isosceles triangle with base length of 7 units and height of 5 units.
The triangular prism is made up of two congruent triangular faces and three rectangular faces. The two congruent triangular faces will not contribute to the lateral surface area since they are part of the faces that make up the surface area of the triangular prism.
Now, let's focus on the three rectangular faces. Since the base length of the triangular prism's base is 7 units and its height is 5 units, each rectangular face will have dimensions of 7 units (length) by 10 units (height).
To calculate the lateral surface area, we multiply the perimeter of the base by the height of the prism.
In this case, the perimeter of the triangular base is (7+7+7) = 21 units. The lateral surface area is the product of the base's perimeter and the height, which is 21 units * 10 units = 210 square units.
So, if the dimensions of the triangular prism are as described in this example, then the lateral surface area of the lizard's new home is 210 square units.
you have three rectangular pieces.
I assume you know how to find the area of a rectangle ...