1. Determine the volume of a cube with sides of 30 mm . Express your answer in \( \mathrm{cm}^{2} \). 2. Calculate the volume of the following reetangular blocks: (a) length 40 cm ; heighth 30 cm ; width 15 cm . (b) Iength \( 1,5 \mathrm{~m} \); height \( 0,3 \mathrm{~m} \); width 50 cm . Express your answers in standard form, first in \( \mathrm{cm}^{3} \), then in \( \mathrm{m}^{3} \). 3. Astorage bin is 2 m long with vertical sides and a cross-section in the form of a trapezium as shown. What is the capacity of the bin?

38. A closed rectangular box of length 8 m , breadth 6 m and height 12 m is to be made up of steel. Find the area of the steel sheet required to make the box.

\( \begin{array}{lr}24 \text { Due triangoli } A B C \text { e } A^{\prime} B^{\prime} C^{\prime} \text { sono tali che } A B \cong A^{\prime} B^{\prime}, \\ B C \cong B^{\prime} C^{\prime} \text { e uno degli angoli esterni di vertice } B \text { è con- } \\ \text { gruente a uno degli angoli esterni di vertice } B^{\prime} \text {. Dimo- } & \text { cui } \\ \text { stra che i due triangoli sono congruenti. }\end{array} \)

12 Qabarıq dördbucaqlının daxili bucaqlarının dərəcə ölçüləri \( 1: 2: 3: 4 \) nisbətindədir. Bu dördbucaqlının daxili və xarici bucaqlarınıtapın. 2) Elə qabarıq dördbucaqlı varmı ki, bütün daxili bucaqları: a) iti bucaq; b) düz bucaq; c) kor bucaq olsun?

Two circles, \( c_{1} \) and \( c_{2} \), touch internally. The equations of the circles are: \[ c_{1}:(x+1)^{2}+(y-3)^{2}=49 \] \[ c_{2}: x^{2}+y^{2}-6 x-12 y+k=0 \] Work out the two possible values of \( k \), where \( k \in \mathbb{Z} \).

D23 Video Dimostra che le mediane relati a lati corrispondenti di due triangoli congruenti sor congruenti.