A cuboid measures 6cm long, 5cm wide and 4cm high. What is the total length of the edges in centimeters?
60
4(6 + 5 + 4) = ?
http://upload.wikimedia.org/wikipedia/commons/thumb/3/32/Cuboid_simple.svg/2000px-Cuboid_simple.svg.png
Correct
volumecuboid
To find the total length of the edges of a cuboid, you need to add up the lengths of all its edges.
A cuboid has 12 edges in total. Each of the six faces of the cuboid has an edge along each of its sides. So, you need to find the length of each of these edges and then sum them up.
Given that the cuboid measures 6cm in length, 5cm in width, and 4cm in height, let's calculate the length of the edges:
Length edges:
- The length of the front face has two edges, measuring 6cm and 5cm.
- The length of the back face also has two edges of the same dimensions, measuring 6cm and 5cm.
- The length of the top face has two edges, measuring 6cm and 4cm.
- The length of the bottom face also has two edges of the same dimensions, measuring 6cm and 4cm.
- The length of the left face has two edges, measuring 5cm and 4cm.
- The length of the right face also has two edges of the same dimensions, measuring 5cm and 4cm.
Now, let's calculate the total length of all these edges:
Total length of the edges = (6cm + 5cm) + (6cm + 5cm) + (6cm + 4cm) + (6cm + 4cm) + (5cm + 4cm) + (5cm + 4cm)
Simplifying this, we get:
Total length of the edges = 11cm + 11cm + 10cm + 10cm + 9cm + 9cm
Adding these values together, the total length of the edges of the given cuboid is:
Total length of the edges = 60cm
Therefore, the total length of the edges of the cuboid is 60 centimeters.