Q2 A small indoor greenhouse (herbarium) is made entirely of glass panes (including base) held together with tape. It is 30 cm long, 25 cm wide and 25 cm high. (i) What is the area of the glass? (ii) How much of tape is needed for all the 12 edges?
(i) To calculate the area of the glass panes, you'll need to find the surface area of each of the six sides of the greenhouse and then sum them up.
The greenhouse has two sides measuring 30 cm by 25 cm (top and bottom). So, the area of these two sides is:
2 * (30 cm * 25 cm) = 1500 square cm
The other four sides are all 25 cm by 25 cm (the four vertical sides). The combined area of these four sides is:
4 * (25 cm * 25 cm) = 2500 square cm
Now, sum up the areas of all six sides:
1500 square cm + 2500 square cm = 4000 square cm
So, the total area of the glass panes is 4000 square cm.
(ii) To find out how much tape is needed for all 12 edges, you'll calculate the perimeter of the base and then add the perimeters of the four vertical edges.
The base is a rectangle with dimensions 30 cm by 25 cm. The perimeter of the base is:
2 * (30 cm + 25 cm) = 2 * 55 cm = 110 cm
Now, for the four vertical edges, you have four edges, each measuring 30 cm. So, the combined length of these vertical edges is:
4 * 30 cm = 120 cm
Add the perimeter of the base and the length of the vertical edges:
110 cm + 120 cm = 230 cm
You would need 230 cm of tape for all 12 edges of the greenhouse.
Answers & Comments
[tex]\mathcal{\huge{\purple{\colorbox{aqua}{Answer: -}}}}[/tex]
(i) To calculate the area of the glass panes, you'll need to find the surface area of each of the six sides of the greenhouse and then sum them up.
The greenhouse has two sides measuring 30 cm by 25 cm (top and bottom). So, the area of these two sides is:
2 * (30 cm * 25 cm) = 1500 square cm
The other four sides are all 25 cm by 25 cm (the four vertical sides). The combined area of these four sides is:
4 * (25 cm * 25 cm) = 2500 square cm
Now, sum up the areas of all six sides:
1500 square cm + 2500 square cm = 4000 square cm
So, the total area of the glass panes is 4000 square cm.
(ii) To find out how much tape is needed for all 12 edges, you'll calculate the perimeter of the base and then add the perimeters of the four vertical edges.
The base is a rectangle with dimensions 30 cm by 25 cm. The perimeter of the base is:
2 * (30 cm + 25 cm) = 2 * 55 cm = 110 cm
Now, for the four vertical edges, you have four edges, each measuring 30 cm. So, the combined length of these vertical edges is:
4 * 30 cm = 120 cm
Add the perimeter of the base and the length of the vertical edges:
110 cm + 120 cm = 230 cm
You would need 230 cm of tape for all 12 edges of the greenhouse.
[tex] \huge\colorbox{blue}{ \color{white}{ANSWER}}[/tex]
The answer is in the picture.
The explanation is in the picture.
[tex] \small\color{green}{✨hope \ you \ found \ my \ answer \ helpful. ✨}[/tex]