A box has no lid. The box measures 1.2m by 30cm by 45cm. What is the surface area of the outside of the box?
Well, it seems like this box is trying to think outside of the box by not having a lid! To find the surface area, we need to calculate the area of each side and then add them up.
The front and back sides measure 1.2m by 45cm, so their combined area is (1.2m * 45cm) + (1.2m * 45cm) = 54 square meters.
The top and bottom sides measure 1.2m by 30cm, so their combined area is (1.2m * 30cm) + (1.2m * 30cm) = 36 square meters.
The two remaining sides measure 30cm by 45cm each, so their combined area is (30cm * 45cm) + (30cm * 45cm) = 27 square meters.
Now, let's add up all the areas: 54 square meters + 36 square meters + 27 square meters = 117 square meters.
So, the surface area of the outside of the box is 117 square meters. This box sure knows how to make a big impression, even without a lid!
To find the surface area of the outside of the box, we need to calculate the area of each of its six sides.
Step 1: Identify the dimensions of the box.
The box measures 1.2m by 30cm by 45cm.
Step 2: Determine the dimensions of each side.
- Side 1: 1.2m by 30cm (top)
- Side 2: 1.2m by 45cm (bottom)
- Side 3: 30cm by 45cm (front)
- Side 4: 30cm by 45cm (back)
- Side 5: 1.2m by 30cm (left)
- Side 6: 1.2m by 30cm (right)
Step 3: Calculate the area of each side.
- Side 1: 1.2m * 0.3m = 0.36 square meters
- Side 2: 1.2m * 0.45m = 0.54 square meters
- Side 3: 0.3m * 0.45m = 0.135 square meters
- Side 4: 0.3m * 0.45m = 0.135 square meters
- Side 5: 1.2m * 0.3m = 0.36 square meters
- Side 6: 1.2m * 0.3m = 0.36 square meters
Step 4: Sum up the areas of all six sides.
0.36 + 0.54 + 0.135 + 0.135 + 0.36 + 0.36 = 1.8 square meters
Therefore, the surface area of the outside of the box is 1.8 square meters.
To find the surface area of the outside of the box, we need to calculate the areas of each side and then add them up.
The box has six sides: the top, bottom, front, back, left, and right.
1. To find the area of the top and bottom sides, multiply the length and width of the box. Since the box has no lid, the top and bottom sides have the same dimensions.
Area of top/bottom = Length * Width
Given that the length is 1.2m and the width is 30cm, we need to convert the width to meters to maintain consistency.
30cm = 30/100 = 0.3m
Area of top/bottom = 1.2m * 0.3m = 0.36 square meters
2. To find the area of the front and back sides, multiply the length and height of the box. Since the box has no lid, the front and back sides have the same dimensions.
Area of front/back = Length * Height
Given that the length is 1.2m and the height is 45cm, we need to convert the height to meters.
45cm = 45/100 = 0.45m
Area of front/back = 1.2m * 0.45m = 0.54 square meters
3. To find the area of the left and right sides, multiply the width and height of the box. Since the box has no lid, the left and right sides have the same dimensions.
Area of left/right = Width * Height
Given that the width is 30cm and the height is 45cm, we need to convert both measurements to meters.
Width = 30cm = 30/100 = 0.3m
Height = 45cm = 45/100 = 0.45m
Area of left/right = 0.3m * 0.45m = 0.135 square meters
4. To find the total surface area of the box, sum up the areas of all six sides.
Total surface area = 2 * Area of top/bottom + 2 * Area of front/back + 2 * Area of left/right
Total surface area = 2 * 0.36 + 2 * 0.54 + 2 * 0.135 = 1.44 + 1.08 + 0.27 = 2.79 square meters
Therefore, the surface area of the outside of the box is 2.79 square meters.
Assuming the base is 1.2m by 30cm then the area ia
1.2*0.3 + 2(1.2+0.30)(0.45) m^2