SAT Subject Test Mathematics Level 1

S   =   2ℓw +   2ℓh +   2wh

Here, for each rectangular block, ℓ = 7, w = 5, and h = 4. So the surface area of
one rectangular block is

2 × 7 × 5 + 2 × 7 × 4 + 2 × 5 × 4 = 70 + 56 + 40 = 166

Since there are 24 blocks in the carton, the total surface area of these 24
blocks is 24 × 166 = 3,984. So the answer is choice (E).

You’ve covered the solid geometry topics that you’re likely to encounter on
Math 1. You’ve reviewed the facts and formulas and learned some useful
strategies. Now it’s time for you to try another set of typical solid geometry
questions.

THINGS TO REMEMBER:

Surface Area    of  a   Rectangular Solid

Distance    Between Opposite    Vertices    of  a   Rectangular Solid

Volume  Formulas    for Uniform Solids

If  the length  is  ℓ,  the width   is  w,  and the height  is  h,  the formula is

Surface Area    =   2ℓw +   2wh +   2ℓh