Clip company produce different sizes of chocolate bars that are package in equilateral triangular prism here is the 100-g of chocolate bar
Height:3.1cm
Triangle side: 3.5cm
Length: 21cm
Calculate the surface area and volume
area of triangle base: 0.5*3.1*3.5 = 5.4 cm^2
volume = 5.4*21
area = 3*21*3.5 + 2*5.4
Hope Clip company complies with Toblerone's copyrights.
https://www.google.ca/search?q=toblerone+bar&rlz=1C5CHFA_enCA690CA690&tbm=isch&imgil=QXasLdDaU6pvKM%253A%253B6WE2iIqU9_CjjM%253Bhttp%25253A%25252F%25252Fwww.telegraph.co.uk%25252Fnews%25252F2016%25252F11%25252F08%25252Ftoblerone-faces-mountain-of-criticism-over-stupid-change-to-its%25252F&source=iu&pf=m&fir=QXasLdDaU6pvKM%253A%252C6WE2iIqU9_CjjM%252C_&usg=__dlrZOKafeGJ4N1SN_rWBC8IlY_o%3D&biw=1662&bih=910&ved=0ahUKEwih-fTo3tzTAhUi64MKHYQmBvsQyjcIRg&ei=HIcOWaH7CKLWjwSEzZjYDw#imgrc=5QwQgER5eivK3M:
To calculate the surface area and volume of the equilateral triangular prism-shaped chocolate bar, follow these steps:
1. Determine the area of the triangular base:
- The formula to find the area of an equilateral triangle is: A = (sqrt(3) / 4) * s^2, where "s" is the length of each side of the triangle.
- In this case, the side length of the triangle is given as 3.5cm.
- Calculate the area of the triangle using the formula: A = (sqrt(3) / 4) * (3.5cm)^2.
2. Calculate the lateral surface area:
- The lateral surface area can be calculated by finding the perimeter of the triangular base and multiplying it by the height of the prism.
- The perimeter of an equilateral triangle is equal to 3 times the length of its side.
- Multiply the perimeter by the height of the prism to find the lateral surface area.
3. Calculate the total surface area:
- To find the total surface area, add the area of the triangular base to the lateral surface area.
- Total surface area = triangular base area + lateral surface area.
4. Calculate the volume:
- The volume of a prism can be found by multiplying the area of the base by the height.
- Multiply the area of the triangular base by the height of the prism to find the volume.
Now, let's plug in the given values to calculate the surface area and volume of the chocolate bar:
1. Area of the triangular base:
- A = (sqrt(3) / 4) * (3.5cm)^2
2. Lateral surface area:
- Perimeter of the triangular base = 3 * 3.5cm
- Lateral surface area = Perimeter * Height
3. Total surface area:
- Total surface area = Triangular base area + Lateral surface area
4. Volume:
- Volume = Triangular base area * Height
Calculate these values using the given dimensions, and you'll find the surface area and volume of the chocolate bar.