A wire cuboid is 10cm long , 8cm wide and 6cm high what is the total length of the wire in the cuboid
Make a transparent sketch of your cuboid, then all up all the edges.
there are two horizontal bases that are 10cm x 8cm
there are 4 vertical edges that are 6cm
Well, it seems like our wire cuboid needs a bit of exercise! To find the total length of the wire, we need to add up the lengths of all its edges.
Let's start by looking at the length of the wire on the sides. Since the cuboid has a length of 10cm and a width of 8cm, the total wire length for the sides would be 2 * (10cm + 8cm), which is 36cm.
Next, we have the length of the wire on the top and bottom. Since the cuboid has a length of 10cm and a width of 8cm, the total wire length for the top and bottom would be 2 * (10cm + 8cm), which is another 36cm.
Lastly, we need to consider the height of the cuboid, which is 6cm. So, the total wire length for the height would be 4 * 6cm, which is 24cm.
Now, let's add everything up: 36cm (sides) + 36cm (top and bottom) + 24cm (height) = 96cm.
So, the total length of the wire in the wire cuboid is 96cm. Now, that's some wired math!
To find the total length of the wire in the cuboid, we need to calculate the sum of all the individual sides.
The wire cuboid has 12 edges, each one contributing to the total length of the wire.
- The length of the cuboid is 10 cm, so there are two edges with a length of 10 cm each.
- The width of the cuboid is 8 cm, so there are two edges with a length of 8 cm each.
- The height of the cuboid is 6 cm, so there are two edges with a length of 6 cm each.
Adding up all the edge lengths, we have:
2(10 cm) + 2(8 cm) + 2(6 cm) = 20 cm + 16 cm + 12 cm = 48 cm.
Therefore, the total length of the wire in the cuboid is 48 cm.
To find the total length of the wire in the cuboid, we need to calculate the perimeter of the base rectangle and add it to the sum of all the edges of the cuboid.
First, let's find the perimeter of the base rectangle. The base rectangle has dimensions of 10cm by 8cm, so its perimeter can be calculated using the formula: perimeter = 2(length + width).
Perimeter of the base rectangle = 2(10cm + 8cm)
= 2(18cm)
= 36cm
Next, let's calculate the lengths of all the edges of the cuboid. There are 12 edges in total.
Length of edge 1: 10cm
Length of edge 2: 8cm
Length of edge 3: 6cm
Length of edge 4: 10cm
Length of edge 5: 8cm
Length of edge 6: 6cm
Length of edge 7: 10cm
Length of edge 8: 8cm
Length of edge 9: 6cm
Length of edge 10: 10cm
Length of edge 11: 8cm
Length of edge 12: 6cm
Now, let's add the lengths of all the edges together to get the total length of the wire in the cuboid.
Total length of wire = Length of edge 1 + Length of edge 2 + Length of edge 3 + Length of edge 4 + Length of edge 5 + Length of edge 6 + Length of edge 7 + Length of edge 8 + Length of edge 9 + Length of edge 10 + Length of edge 11 + Length of edge 12
Total length of wire = 10cm + 8cm + 6cm + 10cm + 8cm + 6cm + 10cm + 8cm + 6cm + 10cm + 8cm + 6cm
Total length of wire = 96cm
Therefore, the total length of the wire in the wire cuboid is 96cm.