To calculate the surface area of a triangular prism, you need to find the area of each of the three rectangular faces and two triangular faces, and then sum them all.
First, let's calculate the area of the rectangular faces:
The height of the prism is 5 units, and the base is 3 units (5*3 = 15 units) - there are two rectangular faces, so the total area of both rectangular faces is 2*15 = 30 units.
Now, let's calculate the area of the triangular faces:
The base of the triangle is 4 units, and the height is 5 units (0.5 * base * height = 0.5*4*5 = 10 units) - there are two triangular faces, so the total area of both triangular faces is 2*10 = 20 units.
Finally, you add up the areas of all faces:
30 (rectangular faces) + 20 (triangular faces) = 50 units.
Therefore, the surface area of the triangular prism is 50 square units.
What is the surface area of the triangular prism?
5
11
3
4
The numbers are the measurements on the prism
9 answers
3=h
11=L
4=b
5=
11=L
4=b
5=
To calculate the surface area of the triangular prism with the given measurements:
1. Calculate the area of the two triangular bases:
Area of a triangle = 1/2 * base * height
Area of the triangle = 1/2 * 4 * 5 = 10 square units.
2. Calculate the three rectangular sides:
Side 1:
Area of a rectangle = length * height
Area of rectangle 1 = 3 * 5 = 15 square units.
Side 2:
Area of rectangle 2 = 3 * 5 = 15 square units.
Side 3:
Area of rectangle 3 = 4 * 5 = 20 square units.
3. Add up the areas of all the sides:
Total surface area = 2(triangle areas) + 3(rectangle areas)
Total surface area = 2(10) + 3(15 + 15 + 20)
Total surface area = 20 + 3(50)
Total surface area = 20 + 150
Total surface area = 170 square units.
Therefore, the surface area of the triangular prism with the given measurements is 170 square units.
1. Calculate the area of the two triangular bases:
Area of a triangle = 1/2 * base * height
Area of the triangle = 1/2 * 4 * 5 = 10 square units.
2. Calculate the three rectangular sides:
Side 1:
Area of a rectangle = length * height
Area of rectangle 1 = 3 * 5 = 15 square units.
Side 2:
Area of rectangle 2 = 3 * 5 = 15 square units.
Side 3:
Area of rectangle 3 = 4 * 5 = 20 square units.
3. Add up the areas of all the sides:
Total surface area = 2(triangle areas) + 3(rectangle areas)
Total surface area = 2(10) + 3(15 + 15 + 20)
Total surface area = 20 + 3(50)
Total surface area = 20 + 150
Total surface area = 170 square units.
Therefore, the surface area of the triangular prism with the given measurements is 170 square units.
Jerry wants to wrap a present in a box for his mother. The box measures 10cm wide, 4 cm high, and 17cm long. How much wrapping paper will jerry need to wrap the present?
To calculate how much wrapping paper Jerry will need to wrap the present, he needs to find the surface area of the box.
There are 6 sides to a rectangular box: the top, bottom, front, back, and two sides.
1. Top and bottom:
Each top and bottom face of the box has an area of 10cm x 17cm = 170 square cm * 2 = 340 square cm.
2. Front and back:
Each front and back face of the box has an area of 4cm x 17cm = 68 square cm * 2 = 136 square cm.
3. Two sides:
Each side face of the box has an area of 4cm x 10cm = 40 square cm * 2 = 80 square cm.
4. Add all the areas together:
Total surface area = 340 (top and bottom) + 136 (front and back) + 80 (two sides)
Total surface area = 556 square cm.
Therefore, Jerry will need 556 square cm of wrapping paper to wrap the present.
There are 6 sides to a rectangular box: the top, bottom, front, back, and two sides.
1. Top and bottom:
Each top and bottom face of the box has an area of 10cm x 17cm = 170 square cm * 2 = 340 square cm.
2. Front and back:
Each front and back face of the box has an area of 4cm x 17cm = 68 square cm * 2 = 136 square cm.
3. Two sides:
Each side face of the box has an area of 4cm x 10cm = 40 square cm * 2 = 80 square cm.
4. Add all the areas together:
Total surface area = 340 (top and bottom) + 136 (front and back) + 80 (two sides)
Total surface area = 556 square cm.
Therefore, Jerry will need 556 square cm of wrapping paper to wrap the present.
A toy came in a container that is shaped like triangular prism. How much wrapping paper is needed to wrap the toy?
To calculate the amount of wrapping paper needed to wrap a triangular prism container, we need to find the surface area of the prism.
A triangular prism has two triangular faces and three rectangular faces.
Let's assume the given measurements are:
Base of the triangular faces = b units
Height of the triangular faces = h units
Length of the rectangular faces = L units
The formula to calculate the surface area of a triangular prism is:
Surface Area = (2 * base area of the triangle) + (3 * area of the rectangular faces)
1. Base area of each triangle:
Base area = 0.5 * b * h
2. Area of each rectangular face:
Area = L * h
3. Surface area of the triangular prism:
Surface Area = (2 * 0.5 * b * h) + (3 * L * h)
Surface Area = (b * h) + (3 * L * h)
Surface Area = bh + 3Lh
Therefore, the total amount of wrapping paper needed to wrap the toy in a triangular prism container is given by: bh + 3Lh.
A triangular prism has two triangular faces and three rectangular faces.
Let's assume the given measurements are:
Base of the triangular faces = b units
Height of the triangular faces = h units
Length of the rectangular faces = L units
The formula to calculate the surface area of a triangular prism is:
Surface Area = (2 * base area of the triangle) + (3 * area of the rectangular faces)
1. Base area of each triangle:
Base area = 0.5 * b * h
2. Area of each rectangular face:
Area = L * h
3. Surface area of the triangular prism:
Surface Area = (2 * 0.5 * b * h) + (3 * L * h)
Surface Area = (b * h) + (3 * L * h)
Surface Area = bh + 3Lh
Therefore, the total amount of wrapping paper needed to wrap the toy in a triangular prism container is given by: bh + 3Lh.
30.5
28.4
5.1
27.9
28.4
5.1
27.9
To find the amount of wrapping paper needed to wrap a triangular prism container with the given measurements:
Assuming:
Base of the triangular faces (b) = 5.1 cm
Height of the triangular faces (h) = 27.9 cm
Length of the rectangular faces (L) = 30.5 cm
We will use the formula:
Surface Area = bh + 3Lh
1. Calculate the base area of each triangle:
Base area = 0.5 * b * h
Base area = 0.5 * 5.1 * 27.9
Base area = 0.5 * 142.29
Base area = 71.145 square cm
2. Calculate the surface area of the triangular prism:
Surface Area = bh + 3Lh
Surface Area = 5.1 * 27.9 + 3 * 30.5 * 27.9
Surface Area = 142.29 + 3 * 850.95
Surface Area = 142.29 + 2552.85
Surface Area = 2695.14 square cm
Therefore, Jerry will need 2695.14 square cm of wrapping paper to wrap the toy in the triangular prism container.
Assuming:
Base of the triangular faces (b) = 5.1 cm
Height of the triangular faces (h) = 27.9 cm
Length of the rectangular faces (L) = 30.5 cm
We will use the formula:
Surface Area = bh + 3Lh
1. Calculate the base area of each triangle:
Base area = 0.5 * b * h
Base area = 0.5 * 5.1 * 27.9
Base area = 0.5 * 142.29
Base area = 71.145 square cm
2. Calculate the surface area of the triangular prism:
Surface Area = bh + 3Lh
Surface Area = 5.1 * 27.9 + 3 * 30.5 * 27.9
Surface Area = 142.29 + 3 * 850.95
Surface Area = 142.29 + 2552.85
Surface Area = 2695.14 square cm
Therefore, Jerry will need 2695.14 square cm of wrapping paper to wrap the toy in the triangular prism container.
1 answer