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At an ice cream carving competition each carver starts with a block of ice with the dimensions shown (4,2,3). The block is wrapped with special reflective material to keep it from melting. How much reflective material is needed to cover the whole block without any overlaps?

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Answer:

Total reflective material required = 52 square unit

Step-by-step explanation:

An ice block has the dimensions as 4 units × 2 units × 3 units

This ice block to bee covered with a special reflective paper to protect the ice block from melting.

Amount of reflective material required = Total surface area of the ice block

Since total surface area of a rectangular prism = 2(lb + bh + hl)

Where l = length of the ice block

b = width of the ice block

h = height of the ice block

Now total surface area for the given dimensions = 2(4×2 + 2×3 + 3×4)

= 2(8 + 6 + 12)

= 52 units²

Therefore, total reflective material required will be 52 units².

The total surface area of the cubic ice block  will be total reflective material required = 52 square unit

What is surface area?

Surface area is the amount of space covering the outside of a three-dimensional shape. Finding surface area

An ice block has the dimensions as 4 units × 2 units × 3 units

This ice block to bee covered with a special reflective paper to protect the ice block from melting.

Amount of reflective material required = Total surface area of the ice block

Since total surface area of a rectangular prism = 2(lb + bh + hl)

Where

l = length of the ice block

b = width of the ice block

h = height of the ice block

Now total surface area for the given dimensions = 2(4×2 + 2×3 + 3×4)

= 2(8 + 6 + 12)

= 52 units²

Therefore, total reflective material required will be 52 units².

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