Mr. VanNevel makes rectangular glass aquariums with glass tops. The aquariums measure 12 in by 6 in by 8 in. a.) draw a net and find the total surface area
I know there are no photos allowed on the website but if you can try to explain this it would be great.
Thanks!
just unfold the sides and add up the areas of the rectangles.
L = 12 in.
W = 6 in.
h = 8 in.
As = 2(W*h) + 2(L*W) + 2(L*h) = Surface area.
Certainly, I'll do my best to guide you through the process of drawing a net and finding the total surface area of the rectangular glass aquarium.
To begin, let's understand what a net is. In geometry, a net is a two-dimensional pattern that can be folded to form a three-dimensional solid. In the case of the aquarium, we need to create a net that represents the arrangement of its faces when unfolded.
First, visualize the rectangular glass aquarium with dimensions of 12 inches by 6 inches by 8 inches. Remember that an aquarium has six faces: a top, a bottom, and four sides.
To draw the net, you need to draw all six faces of the aquarium in a way that they can be unfolded and connected to form the rectangular shape.
Start by drawing the base of the aquarium, which will be a rectangle measuring 12 inches by 6 inches. This will represent the bottom face of the aquarium.
Next, draw the remaining five faces around the base. On the top of the base, draw another rectangle identical to the base; this will represent the top face of the aquarium. Then, draw two rectangles of dimensions 12 inches by 8 inches on the sides of the base, which will represent the side faces. Finally, draw two rectangles of dimensions 6 inches by 8 inches on the remaining two sides of the base, which will represent the front and back faces.
Now that you have drawn the net, the next step is to find the surface area of each face and add them together to determine the total surface area.
The surface area of a rectangular face is calculated by multiplying the length and width of the face. Therefore, the surface area of the base and top faces (12 inches by 6 inches) is 72 square inches each. The surface area of the side faces (12 inches by 8 inches) is 96 square inches each. The surface area of the front and back faces (6 inches by 8 inches) is 48 square inches each.
To find the total surface area, simply add up the surface areas of all six faces:
72 + 72 + 96 + 96 + 48 + 48 = 432 square inches.
So, the total surface area of the rectangular glass aquarium is 432 square inches.
I hope this explanation helps you understand how to draw a net and find the total surface area of the aquarium. Let me know if you have any further questions!