# A right trapezoidal prism has base dimensions of #40 cm and 56 cm# and a height of #30 cm#. Calculate the volume, surface area and the weight of the prism, knowing it is #120 cm# high and has a density of #2.5 gm/cm^3#?

Given

the lengths of two parallel sides of the trapezoidal base of the right prism are

Hence area of trapezoidal base

So volume of the prism

So mass of the prism

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Volume: ( V = \text{Base area} \times \text{Height} )

Surface Area: ( SA = 2(\text{Base area}) + \text{Lateral area} )

Weight: ( W = \text{Volume} \times \text{Density} )

Given: Base dimensions: 40 cm and 56 cm Height: 30 cm Total height: 120 cm Density: 2.5 g/cm³

Volume: [ V = (40 \times 56) \times 30 ]

Surface Area: [ SA = 2(40 \times 56) + (40 + 56) \times 120 ]

Weight: [ W = V \times \text{Density} ]

Plug in the values to calculate each:

Volume: ( V = 67200 , \text{cm}^2 )

Surface Area: ( SA = 2(2240) + 21600 )

Weight: ( W = 67200 \times 2.5 )

After calculating:

Volume: ( V = 2016000 , \text{cm}^3 )

Surface Area: ( SA = 107200 , \text{cm}^2 )

Weight: ( W = 5040000 , \text{g} )

Converting weight to kilograms: ( W = 5040 , \text{kg} )

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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